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Finding the Fourth Proportional to 2,693.42, 3,717.56 and 1,574.88

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Solution

The fourth proportional to 2,693.42, 3,717.56 and 1,574.88 is: 2,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.42 : 3,717.56 = 1,574.88 : x
  2. Step 2: Convert to fraction form
    2,693.42/3,717.56 = 1,574.88/x
  3. Step 3: Cross multiply
    2,693.42x = 3,717.56 × 1,574.88
  4. Step 4: Simplify right side
    2,693.42x = 5,854,710.89
  5. Step 5: Solve for x
    x = 5,854,710.89/2,693.42
  6. Step 6: Final answer
    x = 2,173.71

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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.