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Finding the Fourth Proportional to 3,046.77, 4,569.22 and 1,291.74

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Solution

The fourth proportional to 3,046.77, 4,569.22 and 1,291.74 is: 1,937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.77 : 4,569.22 = 1,291.74 : x
  2. Step 2: Convert to fraction form
    3,046.77/4,569.22 = 1,291.74/x
  3. Step 3: Cross multiply
    3,046.77x = 4,569.22 × 1,291.74
  4. Step 4: Simplify right side
    3,046.77x = 5,902,214.94
  5. Step 5: Solve for x
    x = 5,902,214.94/3,046.77
  6. Step 6: Final answer
    x = 1,937.21

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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.