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Finding the Fourth Proportional to 2,275.22, 3,412.23 and 631.38

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Solution

The fourth proportional to 2,275.22, 3,412.23 and 631.38 is: 946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.22 : 3,412.23 = 631.38 : x
  2. Step 2: Convert to fraction form
    2,275.22/3,412.23 = 631.38/x
  3. Step 3: Cross multiply
    2,275.22x = 3,412.23 × 631.38
  4. Step 4: Simplify right side
    2,275.22x = 2,154,405.25
  5. Step 5: Solve for x
    x = 2,154,405.25/2,275.22
  6. Step 6: Final answer
    x = 946.90

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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.