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Finding the Fourth Proportional to 2,718.08, 3,750.24 and 1,538.88

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Solution

The fourth proportional to 2,718.08, 3,750.24 and 1,538.88 is: 2,123.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.08 : 3,750.24 = 1,538.88 : x
  2. Step 2: Convert to fraction form
    2,718.08/3,750.24 = 1,538.88/x
  3. Step 3: Cross multiply
    2,718.08x = 3,750.24 × 1,538.88
  4. Step 4: Simplify right side
    2,718.08x = 5,771,169.33
  5. Step 5: Solve for x
    x = 5,771,169.33/2,718.08
  6. Step 6: Final answer
    x = 2,123.25

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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.