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Finding the Fourth Proportional to 1,275.06, 1,913.76 and 949.44

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Solution

The fourth proportional to 1,275.06, 1,913.76 and 949.44 is: 1,425.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.06 : 1,913.76 = 949.44 : x
  2. Step 2: Convert to fraction form
    1,275.06/1,913.76 = 949.44/x
  3. Step 3: Cross multiply
    1,275.06x = 1,913.76 × 949.44
  4. Step 4: Simplify right side
    1,275.06x = 1,817,000.29
  5. Step 5: Solve for x
    x = 1,817,000.29/1,275.06
  6. Step 6: Final answer
    x = 1,425.03

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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.