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Finding the Fourth Proportional to 3,034.31, 4,549.03 and 1,877.63

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Solution

The fourth proportional to 3,034.31, 4,549.03 and 1,877.63 is: 2,814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.31 : 4,549.03 = 1,877.63 : x
  2. Step 2: Convert to fraction form
    3,034.31/4,549.03 = 1,877.63/x
  3. Step 3: Cross multiply
    3,034.31x = 4,549.03 × 1,877.63
  4. Step 4: Simplify right side
    3,034.31x = 8,541,367.76
  5. Step 5: Solve for x
    x = 8,541,367.76/3,034.31
  6. Step 6: Final answer
    x = 2,814.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.