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Finding the Fourth Proportional to 2,701.74, 3,728.24 and 1,582.88

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Solution

The fourth proportional to 2,701.74, 3,728.24 and 1,582.88 is: 2,184.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.74 : 3,728.24 = 1,582.88 : x
  2. Step 2: Convert to fraction form
    2,701.74/3,728.24 = 1,582.88/x
  3. Step 3: Cross multiply
    2,701.74x = 3,728.24 × 1,582.88
  4. Step 4: Simplify right side
    2,701.74x = 5,901,356.53
  5. Step 5: Solve for x
    x = 5,901,356.53/2,701.74
  6. Step 6: Final answer
    x = 2,184.28

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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.