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Finding the Fourth Proportional to 2,042.42, 3,059.60 and 1,347

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Solution

The fourth proportional to 2,042.42, 3,059.60 and 1,347 is: 2,017.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.42 : 3,059.60 = 1,347 : x
  2. Step 2: Convert to fraction form
    2,042.42/3,059.60 = 1,347/x
  3. Step 3: Cross multiply
    2,042.42x = 3,059.60 × 1,347
  4. Step 4: Simplify right side
    2,042.42x = 4,121,281.20
  5. Step 5: Solve for x
    x = 4,121,281.20/2,042.42
  6. Step 6: Final answer
    x = 2,017.84

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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.