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Finding the Fourth Proportional to 1,585.66, 2,188.19 and 887.03

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Solution

The fourth proportional to 1,585.66, 2,188.19 and 887.03 is: 1,224.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.66 : 2,188.19 = 887.03 : x
  2. Step 2: Convert to fraction form
    1,585.66/2,188.19 = 887.03/x
  3. Step 3: Cross multiply
    1,585.66x = 2,188.19 × 887.03
  4. Step 4: Simplify right side
    1,585.66x = 1,940,997.86
  5. Step 5: Solve for x
    x = 1,940,997.86/1,585.66
  6. Step 6: Final answer
    x = 1,224.10

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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.