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Finding the Fourth Proportional to 1,654.82, 2,492.13 and 1,507.20

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Solution

The fourth proportional to 1,654.82, 2,492.13 and 1,507.20 is: 2,269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.82 : 2,492.13 = 1,507.20 : x
  2. Step 2: Convert to fraction form
    1,654.82/2,492.13 = 1,507.20/x
  3. Step 3: Cross multiply
    1,654.82x = 2,492.13 × 1,507.20
  4. Step 4: Simplify right side
    1,654.82x = 3,756,138.34
  5. Step 5: Solve for x
    x = 3,756,138.34/1,654.82
  6. Step 6: Final answer
    x = 2,269.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.