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Finding the Fourth Proportional to 3,123.74, 4,310.78 and 1,707.44

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Solution

The fourth proportional to 3,123.74, 4,310.78 and 1,707.44 is: 2,356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.74 : 4,310.78 = 1,707.44 : x
  2. Step 2: Convert to fraction form
    3,123.74/4,310.78 = 1,707.44/x
  3. Step 3: Cross multiply
    3,123.74x = 4,310.78 × 1,707.44
  4. Step 4: Simplify right side
    3,123.74x = 7,360,398.20
  5. Step 5: Solve for x
    x = 7,360,398.20/3,123.74
  6. Step 6: Final answer
    x = 2,356.28

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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.