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Finding the Fourth Proportional to 2,275.06, 3,412.65 and 631.60

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Solution

The fourth proportional to 2,275.06, 3,412.65 and 631.60 is: 947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.06 : 3,412.65 = 631.60 : x
  2. Step 2: Convert to fraction form
    2,275.06/3,412.65 = 631.60/x
  3. Step 3: Cross multiply
    2,275.06x = 3,412.65 × 631.60
  4. Step 4: Simplify right side
    2,275.06x = 2,155,429.74
  5. Step 5: Solve for x
    x = 2,155,429.74/2,275.06
  6. Step 6: Final answer
    x = 947.42

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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.