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Finding the Fourth Proportional to 1,499.64, 2,066.90 and 1,001.49

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Solution

The fourth proportional to 1,499.64, 2,066.90 and 1,001.49 is: 1,380.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.64 : 2,066.90 = 1,001.49 : x
  2. Step 2: Convert to fraction form
    1,499.64/2,066.90 = 1,001.49/x
  3. Step 3: Cross multiply
    1,499.64x = 2,066.90 × 1,001.49
  4. Step 4: Simplify right side
    1,499.64x = 2,069,974.67
  5. Step 5: Solve for x
    x = 2,069,974.67/1,499.64
  6. Step 6: Final answer
    x = 1,380.31

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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.