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Finding the Fourth Proportional to 3,032.70, 4,547.70 and 1,389.75

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Solution

The fourth proportional to 3,032.70, 4,547.70 and 1,389.75 is: 2,084.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.70 : 4,547.70 = 1,389.75 : x
  2. Step 2: Convert to fraction form
    3,032.70/4,547.70 = 1,389.75/x
  3. Step 3: Cross multiply
    3,032.70x = 4,547.70 × 1,389.75
  4. Step 4: Simplify right side
    3,032.70x = 6,320,166.08
  5. Step 5: Solve for x
    x = 6,320,166.08/3,032.70
  6. Step 6: Final answer
    x = 2,084.01

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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.