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Finding the Fourth Proportional to 1,470.64, 2,014.96 and 1,452.42

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Solution

The fourth proportional to 1,470.64, 2,014.96 and 1,452.42 is: 1,990.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.64 : 2,014.96 = 1,452.42 : x
  2. Step 2: Convert to fraction form
    1,470.64/2,014.96 = 1,452.42/x
  3. Step 3: Cross multiply
    1,470.64x = 2,014.96 × 1,452.42
  4. Step 4: Simplify right side
    1,470.64x = 2,926,568.20
  5. Step 5: Solve for x
    x = 2,926,568.20/1,470.64
  6. Step 6: Final answer
    x = 1,990.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.