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Finding the Fourth Proportional to 1,585.84, 2,188.41 and 877.71

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Solution

The fourth proportional to 1,585.84, 2,188.41 and 877.71 is: 1,211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.84 : 2,188.41 = 877.71 : x
  2. Step 2: Convert to fraction form
    1,585.84/2,188.41 = 877.71/x
  3. Step 3: Cross multiply
    1,585.84x = 2,188.41 × 877.71
  4. Step 4: Simplify right side
    1,585.84x = 1,920,789.75
  5. Step 5: Solve for x
    x = 1,920,789.75/1,585.84
  6. Step 6: Final answer
    x = 1,211.21

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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.