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Finding the Fourth Proportional to 2,702.74, 4,046.78 and 1,401.47

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Solution

The fourth proportional to 2,702.74, 4,046.78 and 1,401.47 is: 2,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.74 : 4,046.78 = 1,401.47 : x
  2. Step 2: Convert to fraction form
    2,702.74/4,046.78 = 1,401.47/x
  3. Step 3: Cross multiply
    2,702.74x = 4,046.78 × 1,401.47
  4. Step 4: Simplify right side
    2,702.74x = 5,671,433.76
  5. Step 5: Solve for x
    x = 5,671,433.76/2,702.74
  6. Step 6: Final answer
    x = 2,098.41

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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.