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Finding the Fourth Proportional to 2,748.70, 4,123.05 and 1,578.70

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Solution

The fourth proportional to 2,748.70, 4,123.05 and 1,578.70 is: 2,368.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.70 : 4,123.05 = 1,578.70 : x
  2. Step 2: Convert to fraction form
    2,748.70/4,123.05 = 1,578.70/x
  3. Step 3: Cross multiply
    2,748.70x = 4,123.05 × 1,578.70
  4. Step 4: Simplify right side
    2,748.70x = 6,509,059.04
  5. Step 5: Solve for x
    x = 6,509,059.04/2,748.70
  6. Step 6: Final answer
    x = 2,368.05

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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.