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Finding the Fourth Proportional to 1,578.70, 2,368.05 and 1,569.10

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Solution

The fourth proportional to 1,578.70, 2,368.05 and 1,569.10 is: 2,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.70 : 2,368.05 = 1,569.10 : x
  2. Step 2: Convert to fraction form
    1,578.70/2,368.05 = 1,569.10/x
  3. Step 3: Cross multiply
    1,578.70x = 2,368.05 × 1,569.10
  4. Step 4: Simplify right side
    1,578.70x = 3,715,707.26
  5. Step 5: Solve for x
    x = 3,715,707.26/1,578.70
  6. Step 6: Final answer
    x = 2,353.65

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.