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Finding the Fourth Proportional to 1,513.88, 2,089.14 and 916.40

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Solution

The fourth proportional to 1,513.88, 2,089.14 and 916.40 is: 1,264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.88 : 2,089.14 = 916.40 : x
  2. Step 2: Convert to fraction form
    1,513.88/2,089.14 = 916.40/x
  3. Step 3: Cross multiply
    1,513.88x = 2,089.14 × 916.40
  4. Step 4: Simplify right side
    1,513.88x = 1,914,487.90
  5. Step 5: Solve for x
    x = 1,914,487.90/1,513.88
  6. Step 6: Final answer
    x = 1,264.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.