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Finding the Fourth Proportional to 2,397.25, 3,595.71 and 1,472.95

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Solution

The fourth proportional to 2,397.25, 3,595.71 and 1,472.95 is: 2,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.25 : 3,595.71 = 1,472.95 : x
  2. Step 2: Convert to fraction form
    2,397.25/3,595.71 = 1,472.95/x
  3. Step 3: Cross multiply
    2,397.25x = 3,595.71 × 1,472.95
  4. Step 4: Simplify right side
    2,397.25x = 5,296,283.07
  5. Step 5: Solve for x
    x = 5,296,283.07/2,397.25
  6. Step 6: Final answer
    x = 2,209.32

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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.