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Finding the Fourth Proportional to 1,779.75, 2,456.00 and 1,033.66

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Solution

The fourth proportional to 1,779.75, 2,456.00 and 1,033.66 is: 1,426.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.75 : 2,456.00 = 1,033.66 : x
  2. Step 2: Convert to fraction form
    1,779.75/2,456.00 = 1,033.66/x
  3. Step 3: Cross multiply
    1,779.75x = 2,456.00 × 1,033.66
  4. Step 4: Simplify right side
    1,779.75x = 2,538,665.40
  5. Step 5: Solve for x
    x = 2,538,665.40/1,779.75
  6. Step 6: Final answer
    x = 1,426.42

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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.