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Finding the Fourth Proportional to 2,717.84, 3,750.65 and 1,538.95

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Solution

The fourth proportional to 2,717.84, 3,750.65 and 1,538.95 is: 2,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.84 : 3,750.65 = 1,538.95 : x
  2. Step 2: Convert to fraction form
    2,717.84/3,750.65 = 1,538.95/x
  3. Step 3: Cross multiply
    2,717.84x = 3,750.65 × 1,538.95
  4. Step 4: Simplify right side
    2,717.84x = 5,772,057.29
  5. Step 5: Solve for x
    x = 5,772,057.29/2,717.84
  6. Step 6: Final answer
    x = 2,123.77

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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.