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Finding the Fourth Proportional to 1,451.64, 2,001.15 and 1,030.62

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Solution

The fourth proportional to 1,451.64, 2,001.15 and 1,030.62 is: 1,420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.64 : 2,001.15 = 1,030.62 : x
  2. Step 2: Convert to fraction form
    1,451.64/2,001.15 = 1,030.62/x
  3. Step 3: Cross multiply
    1,451.64x = 2,001.15 × 1,030.62
  4. Step 4: Simplify right side
    1,451.64x = 2,062,425.21
  5. Step 5: Solve for x
    x = 2,062,425.21/1,451.64
  6. Step 6: Final answer
    x = 1,420.76

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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.