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Finding the Fourth Proportional to 1,521.74, 2,101.02 and 933.14

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Solution

The fourth proportional to 1,521.74, 2,101.02 and 933.14 is: 1,288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.74 : 2,101.02 = 933.14 : x
  2. Step 2: Convert to fraction form
    1,521.74/2,101.02 = 933.14/x
  3. Step 3: Cross multiply
    1,521.74x = 2,101.02 × 933.14
  4. Step 4: Simplify right side
    1,521.74x = 1,960,545.80
  5. Step 5: Solve for x
    x = 1,960,545.80/1,521.74
  6. Step 6: Final answer
    x = 1,288.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.