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Finding the Fourth Proportional to 1,478.13, 2,040.66 and 981.45

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Solution

The fourth proportional to 1,478.13, 2,040.66 and 981.45 is: 1,354.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.13 : 2,040.66 = 981.45 : x
  2. Step 2: Convert to fraction form
    1,478.13/2,040.66 = 981.45/x
  3. Step 3: Cross multiply
    1,478.13x = 2,040.66 × 981.45
  4. Step 4: Simplify right side
    1,478.13x = 2,002,805.76
  5. Step 5: Solve for x
    x = 2,002,805.76/1,478.13
  6. Step 6: Final answer
    x = 1,354.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.