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Finding the Fourth Proportional to 1,586.16, 2,188.95 and 887.55

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Solution

The fourth proportional to 1,586.16, 2,188.95 and 887.55 is: 1,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.16 : 2,188.95 = 887.55 : x
  2. Step 2: Convert to fraction form
    1,586.16/2,188.95 = 887.55/x
  3. Step 3: Cross multiply
    1,586.16x = 2,188.95 × 887.55
  4. Step 4: Simplify right side
    1,586.16x = 1,942,802.57
  5. Step 5: Solve for x
    x = 1,942,802.57/1,586.16
  6. Step 6: Final answer
    x = 1,224.85

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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.