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Finding the Fourth Proportional to 2,397.35, 3,595.60 and 665.57

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Solution

The fourth proportional to 2,397.35, 3,595.60 and 665.57 is: 998.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.35 : 3,595.60 = 665.57 : x
  2. Step 2: Convert to fraction form
    2,397.35/3,595.60 = 665.57/x
  3. Step 3: Cross multiply
    2,397.35x = 3,595.60 × 665.57
  4. Step 4: Simplify right side
    2,397.35x = 2,393,123.49
  5. Step 5: Solve for x
    x = 2,393,123.49/2,397.35
  6. Step 6: Final answer
    x = 998.24

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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.