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Finding the Fourth Proportional to 1,444.61, 1,993.56 and 815.15

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Solution

The fourth proportional to 1,444.61, 1,993.56 and 815.15 is: 1,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.61 : 1,993.56 = 815.15 : x
  2. Step 2: Convert to fraction form
    1,444.61/1,993.56 = 815.15/x
  3. Step 3: Cross multiply
    1,444.61x = 1,993.56 × 815.15
  4. Step 4: Simplify right side
    1,444.61x = 1,625,036.39
  5. Step 5: Solve for x
    x = 1,625,036.39/1,444.61
  6. Step 6: Final answer
    x = 1,124.89

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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.