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Finding the Fourth Proportional to 2,274.94, 3,412.63 and 631.72

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Solution

The fourth proportional to 2,274.94, 3,412.63 and 631.72 is: 947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.94 : 3,412.63 = 631.72 : x
  2. Step 2: Convert to fraction form
    2,274.94/3,412.63 = 631.72/x
  3. Step 3: Cross multiply
    2,274.94x = 3,412.63 × 631.72
  4. Step 4: Simplify right side
    2,274.94x = 2,155,841.28
  5. Step 5: Solve for x
    x = 2,155,841.28/2,274.94
  6. Step 6: Final answer
    x = 947.65

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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.