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Finding the Fourth Proportional to 1,974.96, 2,726.28 and 1,502.91

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Solution

The fourth proportional to 1,974.96, 2,726.28 and 1,502.91 is: 2,074.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.96 : 2,726.28 = 1,502.91 : x
  2. Step 2: Convert to fraction form
    1,974.96/2,726.28 = 1,502.91/x
  3. Step 3: Cross multiply
    1,974.96x = 2,726.28 × 1,502.91
  4. Step 4: Simplify right side
    1,974.96x = 4,097,353.47
  5. Step 5: Solve for x
    x = 4,097,353.47/1,974.96
  6. Step 6: Final answer
    x = 2,074.65

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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.