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Finding the Fourth Proportional to 2,317.64, 3,470.70 and 1,449.32

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Solution

The fourth proportional to 2,317.64, 3,470.70 and 1,449.32 is: 2,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.64 : 3,470.70 = 1,449.32 : x
  2. Step 2: Convert to fraction form
    2,317.64/3,470.70 = 1,449.32/x
  3. Step 3: Cross multiply
    2,317.64x = 3,470.70 × 1,449.32
  4. Step 4: Simplify right side
    2,317.64x = 5,030,154.92
  5. Step 5: Solve for x
    x = 5,030,154.92/2,317.64
  6. Step 6: Final answer
    x = 2,170.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.