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Finding the Fourth Proportional to 1,877.40, 2,589.09 and 1,543.86

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Solution

The fourth proportional to 1,877.40, 2,589.09 and 1,543.86 is: 2,129.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.40 : 2,589.09 = 1,543.86 : x
  2. Step 2: Convert to fraction form
    1,877.40/2,589.09 = 1,543.86/x
  3. Step 3: Cross multiply
    1,877.40x = 2,589.09 × 1,543.86
  4. Step 4: Simplify right side
    1,877.40x = 3,997,192.49
  5. Step 5: Solve for x
    x = 3,997,192.49/1,877.40
  6. Step 6: Final answer
    x = 2,129.11

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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.