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Finding the Fourth Proportional to 1,585.53, 2,188.05 and 877.36

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Solution

The fourth proportional to 1,585.53, 2,188.05 and 877.36 is: 1,210.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.53 : 2,188.05 = 877.36 : x
  2. Step 2: Convert to fraction form
    1,585.53/2,188.05 = 877.36/x
  3. Step 3: Cross multiply
    1,585.53x = 2,188.05 × 877.36
  4. Step 4: Simplify right side
    1,585.53x = 1,919,702.89
  5. Step 5: Solve for x
    x = 1,919,702.89/1,585.53
  6. Step 6: Final answer
    x = 1,210.77

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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.