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Finding the Fourth Proportional to 1,877.88, 2,592.48 and 1,457.31

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Solution

The fourth proportional to 1,877.88, 2,592.48 and 1,457.31 is: 2,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.88 : 2,592.48 = 1,457.31 : x
  2. Step 2: Convert to fraction form
    1,877.88/2,592.48 = 1,457.31/x
  3. Step 3: Cross multiply
    1,877.88x = 2,592.48 × 1,457.31
  4. Step 4: Simplify right side
    1,877.88x = 3,778,047.03
  5. Step 5: Solve for x
    x = 3,778,047.03/1,877.88
  6. Step 6: Final answer
    x = 2,011.87

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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.