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Finding the Fourth Proportional to 2,312.42, 3,470.54 and 1,532.25

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Solution

The fourth proportional to 2,312.42, 3,470.54 and 1,532.25 is: 2,299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.42 : 3,470.54 = 1,532.25 : x
  2. Step 2: Convert to fraction form
    2,312.42/3,470.54 = 1,532.25/x
  3. Step 3: Cross multiply
    2,312.42x = 3,470.54 × 1,532.25
  4. Step 4: Simplify right side
    2,312.42x = 5,317,727.25
  5. Step 5: Solve for x
    x = 5,317,727.25/2,312.42
  6. Step 6: Final answer
    x = 2,299.64

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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.