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Finding the Fourth Proportional to 1,654.76, 2,493.76 and 1,490.43

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Solution

The fourth proportional to 1,654.76, 2,493.76 and 1,490.43 is: 2,246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.76 : 2,493.76 = 1,490.43 : x
  2. Step 2: Convert to fraction form
    1,654.76/2,493.76 = 1,490.43/x
  3. Step 3: Cross multiply
    1,654.76x = 2,493.76 × 1,490.43
  4. Step 4: Simplify right side
    1,654.76x = 3,716,775.67
  5. Step 5: Solve for x
    x = 3,716,775.67/1,654.76
  6. Step 6: Final answer
    x = 2,246.12

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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.