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Finding the Fourth Proportional to 1,597.13, 2,396.53 and 610.61

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Solution

The fourth proportional to 1,597.13, 2,396.53 and 610.61 is: 916.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.13 : 2,396.53 = 610.61 : x
  2. Step 2: Convert to fraction form
    1,597.13/2,396.53 = 610.61/x
  3. Step 3: Cross multiply
    1,597.13x = 2,396.53 × 610.61
  4. Step 4: Simplify right side
    1,597.13x = 1,463,345.18
  5. Step 5: Solve for x
    x = 1,463,345.18/1,597.13
  6. Step 6: Final answer
    x = 916.24

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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.