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Finding the Fourth Proportional to 1,713.43, 2,570.15 and 617.02

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Solution

The fourth proportional to 1,713.43, 2,570.15 and 617.02 is: 925.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.43 : 2,570.15 = 617.02 : x
  2. Step 2: Convert to fraction form
    1,713.43/2,570.15 = 617.02/x
  3. Step 3: Cross multiply
    1,713.43x = 2,570.15 × 617.02
  4. Step 4: Simplify right side
    1,713.43x = 1,585,841.92
  5. Step 5: Solve for x
    x = 1,585,841.92/1,713.43
  6. Step 6: Final answer
    x = 925.54

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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.