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Finding the Fourth Proportional to 2,695.64, 4,039.86 and 1,306.22

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Solution

The fourth proportional to 2,695.64, 4,039.86 and 1,306.22 is: 1,957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.64 : 4,039.86 = 1,306.22 : x
  2. Step 2: Convert to fraction form
    2,695.64/4,039.86 = 1,306.22/x
  3. Step 3: Cross multiply
    2,695.64x = 4,039.86 × 1,306.22
  4. Step 4: Simplify right side
    2,695.64x = 5,276,925.73
  5. Step 5: Solve for x
    x = 5,276,925.73/2,695.64
  6. Step 6: Final answer
    x = 1,957.58

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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.