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Finding the Fourth Proportional to 1,478.69, 2,040.51 and 849.15

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Solution

The fourth proportional to 1,478.69, 2,040.51 and 849.15 is: 1,171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.69 : 2,040.51 = 849.15 : x
  2. Step 2: Convert to fraction form
    1,478.69/2,040.51 = 849.15/x
  3. Step 3: Cross multiply
    1,478.69x = 2,040.51 × 849.15
  4. Step 4: Simplify right side
    1,478.69x = 1,732,699.07
  5. Step 5: Solve for x
    x = 1,732,699.07/1,478.69
  6. Step 6: Final answer
    x = 1,171.78

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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.