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Finding the Fourth Proportional to 1,779.81, 2,456.00 and 1,033.65

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Solution

The fourth proportional to 1,779.81, 2,456.00 and 1,033.65 is: 1,426.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.81 : 2,456.00 = 1,033.65 : x
  2. Step 2: Convert to fraction form
    1,779.81/2,456.00 = 1,033.65/x
  3. Step 3: Cross multiply
    1,779.81x = 2,456.00 × 1,033.65
  4. Step 4: Simplify right side
    1,779.81x = 2,538,646.98
  5. Step 5: Solve for x
    x = 2,538,646.98/1,779.81
  6. Step 6: Final answer
    x = 1,426.36

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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.