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Finding the Fourth Proportional to 1,472.58, 2,209.95 and 1,187.46

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Solution

The fourth proportional to 1,472.58, 2,209.95 and 1,187.46 is: 1,782.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.58 : 2,209.95 = 1,187.46 : x
  2. Step 2: Convert to fraction form
    1,472.58/2,209.95 = 1,187.46/x
  3. Step 3: Cross multiply
    1,472.58x = 2,209.95 × 1,187.46
  4. Step 4: Simplify right side
    1,472.58x = 2,624,227.23
  5. Step 5: Solve for x
    x = 2,624,227.23/1,472.58
  6. Step 6: Final answer
    x = 1,782.06

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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.