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Finding the Fourth Proportional to 2,677.59, 4,016.86 and 1,034.00

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Solution

The fourth proportional to 2,677.59, 4,016.86 and 1,034.00 is: 1,551.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.59 : 4,016.86 = 1,034.00 : x
  2. Step 2: Convert to fraction form
    2,677.59/4,016.86 = 1,034.00/x
  3. Step 3: Cross multiply
    2,677.59x = 4,016.86 × 1,034.00
  4. Step 4: Simplify right side
    2,677.59x = 4,153,425.63
  5. Step 5: Solve for x
    x = 4,153,425.63/2,677.59
  6. Step 6: Final answer
    x = 1,551.18

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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.