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Finding the Fourth Proportional to 2,397.74, 3,593.87 and 1,009.00

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Solution

The fourth proportional to 2,397.74, 3,593.87 and 1,009.00 is: 1,512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.74 : 3,593.87 = 1,009.00 : x
  2. Step 2: Convert to fraction form
    2,397.74/3,593.87 = 1,009.00/x
  3. Step 3: Cross multiply
    2,397.74x = 3,593.87 × 1,009.00
  4. Step 4: Simplify right side
    2,397.74x = 3,626,191.82
  5. Step 5: Solve for x
    x = 3,626,191.82/2,397.74
  6. Step 6: Final answer
    x = 1,512.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.