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Finding the Fourth Proportional to 1,417.64, 2,123.72 and 687.73

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Solution

The fourth proportional to 1,417.64, 2,123.72 and 687.73 is: 1,030.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.64 : 2,123.72 = 687.73 : x
  2. Step 2: Convert to fraction form
    1,417.64/2,123.72 = 687.73/x
  3. Step 3: Cross multiply
    1,417.64x = 2,123.72 × 687.73
  4. Step 4: Simplify right side
    1,417.64x = 1,460,545.96
  5. Step 5: Solve for x
    x = 1,460,545.96/1,417.64
  6. Step 6: Final answer
    x = 1,030.27

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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.