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Finding the Fourth Proportional to 1,471.65, 2,205.56 and 1,123.70

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Solution

The fourth proportional to 1,471.65, 2,205.56 and 1,123.70 is: 1,684.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.65 : 2,205.56 = 1,123.70 : x
  2. Step 2: Convert to fraction form
    1,471.65/2,205.56 = 1,123.70/x
  3. Step 3: Cross multiply
    1,471.65x = 2,205.56 × 1,123.70
  4. Step 4: Simplify right side
    1,471.65x = 2,478,371.13
  5. Step 5: Solve for x
    x = 2,478,371.13/1,471.65
  6. Step 6: Final answer
    x = 1,684.08

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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.