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Finding the Fourth Proportional to 1,584.41, 2,377.53 and 763.52

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Solution

The fourth proportional to 1,584.41, 2,377.53 and 763.52 is: 1,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.41 : 2,377.53 = 763.52 : x
  2. Step 2: Convert to fraction form
    1,584.41/2,377.53 = 763.52/x
  3. Step 3: Cross multiply
    1,584.41x = 2,377.53 × 763.52
  4. Step 4: Simplify right side
    1,584.41x = 1,815,279.82
  5. Step 5: Solve for x
    x = 1,815,279.82/1,584.41
  6. Step 6: Final answer
    x = 1,145.72

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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.