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Finding the Fourth Proportional to 1,630.57, 2,444.63 and 981.15

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Solution

The fourth proportional to 1,630.57, 2,444.63 and 981.15 is: 1,470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.57 : 2,444.63 = 981.15 : x
  2. Step 2: Convert to fraction form
    1,630.57/2,444.63 = 981.15/x
  3. Step 3: Cross multiply
    1,630.57x = 2,444.63 × 981.15
  4. Step 4: Simplify right side
    1,630.57x = 2,398,548.72
  5. Step 5: Solve for x
    x = 2,398,548.72/1,630.57
  6. Step 6: Final answer
    x = 1,470.99

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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.