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Finding the Fourth Proportional to 2,689.61, 4,034.35 and 841.60

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Solution

The fourth proportional to 2,689.61, 4,034.35 and 841.60 is: 1,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.61 : 4,034.35 = 841.60 : x
  2. Step 2: Convert to fraction form
    2,689.61/4,034.35 = 841.60/x
  3. Step 3: Cross multiply
    2,689.61x = 4,034.35 × 841.60
  4. Step 4: Simplify right side
    2,689.61x = 3,395,296.77
  5. Step 5: Solve for x
    x = 3,395,296.77/2,689.61
  6. Step 6: Final answer
    x = 1,262.37

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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.