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Finding the Fourth Proportional to 2,506.86, 3,761.37 and 1,046.34

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Solution

The fourth proportional to 2,506.86, 3,761.37 and 1,046.34 is: 1,569.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.86 : 3,761.37 = 1,046.34 : x
  2. Step 2: Convert to fraction form
    2,506.86/3,761.37 = 1,046.34/x
  3. Step 3: Cross multiply
    2,506.86x = 3,761.37 × 1,046.34
  4. Step 4: Simplify right side
    2,506.86x = 3,935,671.89
  5. Step 5: Solve for x
    x = 3,935,671.89/2,506.86
  6. Step 6: Final answer
    x = 1,569.96

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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.