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Finding the Fourth Proportional to 2,341.59, 3,511.77 and 1,042.16

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Solution

The fourth proportional to 2,341.59, 3,511.77 and 1,042.16 is: 1,562.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.59 : 3,511.77 = 1,042.16 : x
  2. Step 2: Convert to fraction form
    2,341.59/3,511.77 = 1,042.16/x
  3. Step 3: Cross multiply
    2,341.59x = 3,511.77 × 1,042.16
  4. Step 4: Simplify right side
    2,341.59x = 3,659,808.66
  5. Step 5: Solve for x
    x = 3,659,808.66/2,341.59
  6. Step 6: Final answer
    x = 1,562.96

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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.