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Finding the Fourth Proportional to 2,275.32, 3,412.58 and 631.43

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Solution

The fourth proportional to 2,275.32, 3,412.58 and 631.43 is: 947.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.32 : 3,412.58 = 631.43 : x
  2. Step 2: Convert to fraction form
    2,275.32/3,412.58 = 631.43/x
  3. Step 3: Cross multiply
    2,275.32x = 3,412.58 × 631.43
  4. Step 4: Simplify right side
    2,275.32x = 2,154,785.17
  5. Step 5: Solve for x
    x = 2,154,785.17/2,275.32
  6. Step 6: Final answer
    x = 947.03

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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.