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Finding the Fourth Proportional to 1,853.47, 2,780.24 and 1,036.97

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Solution

The fourth proportional to 1,853.47, 2,780.24 and 1,036.97 is: 1,555.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.47 : 2,780.24 = 1,036.97 : x
  2. Step 2: Convert to fraction form
    1,853.47/2,780.24 = 1,036.97/x
  3. Step 3: Cross multiply
    1,853.47x = 2,780.24 × 1,036.97
  4. Step 4: Simplify right side
    1,853.47x = 2,883,006.39
  5. Step 5: Solve for x
    x = 2,883,006.39/1,853.47
  6. Step 6: Final answer
    x = 1,555.47

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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.