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Finding the Fourth Proportional to 2,397.34, 3,595.70 and 1,781.94

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Solution

The fourth proportional to 2,397.34, 3,595.70 and 1,781.94 is: 2,672.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.34 : 3,595.70 = 1,781.94 : x
  2. Step 2: Convert to fraction form
    2,397.34/3,595.70 = 1,781.94/x
  3. Step 3: Cross multiply
    2,397.34x = 3,595.70 × 1,781.94
  4. Step 4: Simplify right side
    2,397.34x = 6,407,321.66
  5. Step 5: Solve for x
    x = 6,407,321.66/2,397.34
  6. Step 6: Final answer
    x = 2,672.69

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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.