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Finding the Fourth Proportional to 3,046.61, 4,204.06 and 1,787.53

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Solution

The fourth proportional to 3,046.61, 4,204.06 and 1,787.53 is: 2,466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.61 : 4,204.06 = 1,787.53 : x
  2. Step 2: Convert to fraction form
    3,046.61/4,204.06 = 1,787.53/x
  3. Step 3: Cross multiply
    3,046.61x = 4,204.06 × 1,787.53
  4. Step 4: Simplify right side
    3,046.61x = 7,514,862.35
  5. Step 5: Solve for x
    x = 7,514,862.35/3,046.61
  6. Step 6: Final answer
    x = 2,466.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.