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Finding the Fourth Proportional to 1,281.45, 1,924.08 and 1,047.90

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Solution

The fourth proportional to 1,281.45, 1,924.08 and 1,047.90 is: 1,573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.45 : 1,924.08 = 1,047.90 : x
  2. Step 2: Convert to fraction form
    1,281.45/1,924.08 = 1,047.90/x
  3. Step 3: Cross multiply
    1,281.45x = 1,924.08 × 1,047.90
  4. Step 4: Simplify right side
    1,281.45x = 2,016,243.43
  5. Step 5: Solve for x
    x = 2,016,243.43/1,281.45
  6. Step 6: Final answer
    x = 1,573.41

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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.