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Finding the Fourth Proportional to 2,330.48, 3,494.56 and 1,356.88

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Solution

The fourth proportional to 2,330.48, 3,494.56 and 1,356.88 is: 2,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.48 : 3,494.56 = 1,356.88 : x
  2. Step 2: Convert to fraction form
    2,330.48/3,494.56 = 1,356.88/x
  3. Step 3: Cross multiply
    2,330.48x = 3,494.56 × 1,356.88
  4. Step 4: Simplify right side
    2,330.48x = 4,741,698.57
  5. Step 5: Solve for x
    x = 4,741,698.57/2,330.48
  6. Step 6: Final answer
    x = 2,034.64

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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.