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Finding the Fourth Proportional to 2,832.64, 4,248.14 and 1,445.11

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Solution

The fourth proportional to 2,832.64, 4,248.14 and 1,445.11 is: 2,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.64 : 4,248.14 = 1,445.11 : x
  2. Step 2: Convert to fraction form
    2,832.64/4,248.14 = 1,445.11/x
  3. Step 3: Cross multiply
    2,832.64x = 4,248.14 × 1,445.11
  4. Step 4: Simplify right side
    2,832.64x = 6,139,008.35
  5. Step 5: Solve for x
    x = 6,139,008.35/2,832.64
  6. Step 6: Final answer
    x = 2,167.24

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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.