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Finding the Fourth Proportional to 2,248.64, 3,101.37 and 1,462.94

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Solution

The fourth proportional to 2,248.64, 3,101.37 and 1,462.94 is: 2,017.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.64 : 3,101.37 = 1,462.94 : x
  2. Step 2: Convert to fraction form
    2,248.64/3,101.37 = 1,462.94/x
  3. Step 3: Cross multiply
    2,248.64x = 3,101.37 × 1,462.94
  4. Step 4: Simplify right side
    2,248.64x = 4,537,118.23
  5. Step 5: Solve for x
    x = 4,537,118.23/2,248.64
  6. Step 6: Final answer
    x = 2,017.72

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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.