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Finding the Fourth Proportional to 2,275.29, 3,412.59 and 631.66

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Solution

The fourth proportional to 2,275.29, 3,412.59 and 631.66 is: 947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.29 : 3,412.59 = 631.66 : x
  2. Step 2: Convert to fraction form
    2,275.29/3,412.59 = 631.66/x
  3. Step 3: Cross multiply
    2,275.29x = 3,412.59 × 631.66
  4. Step 4: Simplify right side
    2,275.29x = 2,155,596.60
  5. Step 5: Solve for x
    x = 2,155,596.60/2,275.29
  6. Step 6: Final answer
    x = 947.39

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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.