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Finding the Fourth Proportional to 1,780.77, 2,456.80 and 1,117.38

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Solution

The fourth proportional to 1,780.77, 2,456.80 and 1,117.38 is: 1,541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.77 : 2,456.80 = 1,117.38 : x
  2. Step 2: Convert to fraction form
    1,780.77/2,456.80 = 1,117.38/x
  3. Step 3: Cross multiply
    1,780.77x = 2,456.80 × 1,117.38
  4. Step 4: Simplify right side
    1,780.77x = 2,745,179.18
  5. Step 5: Solve for x
    x = 2,745,179.18/1,780.77
  6. Step 6: Final answer
    x = 1,541.57

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Why These Related Problems?

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