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Finding the Fourth Proportional to 1,521.74, 2,281.64 and 643.79

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Solution

The fourth proportional to 1,521.74, 2,281.64 and 643.79 is: 965.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.74 : 2,281.64 = 643.79 : x
  2. Step 2: Convert to fraction form
    1,521.74/2,281.64 = 643.79/x
  3. Step 3: Cross multiply
    1,521.74x = 2,281.64 × 643.79
  4. Step 4: Simplify right side
    1,521.74x = 1,468,885.61
  5. Step 5: Solve for x
    x = 1,468,885.61/1,521.74
  6. Step 6: Final answer
    x = 965.27

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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.