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Finding the Fourth Proportional to 1,591.86, 2,200.59 and 1,407.18

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Solution

The fourth proportional to 1,591.86, 2,200.59 and 1,407.18 is: 1,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.86 : 2,200.59 = 1,407.18 : x
  2. Step 2: Convert to fraction form
    1,591.86/2,200.59 = 1,407.18/x
  3. Step 3: Cross multiply
    1,591.86x = 2,200.59 × 1,407.18
  4. Step 4: Simplify right side
    1,591.86x = 3,096,626.24
  5. Step 5: Solve for x
    x = 3,096,626.24/1,591.86
  6. Step 6: Final answer
    x = 1,945.29

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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.