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Finding the Fourth Proportional to 1,854.92, 2,559.98 and 1,069.04

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Solution

The fourth proportional to 1,854.92, 2,559.98 and 1,069.04 is: 1,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.92 : 2,559.98 = 1,069.04 : x
  2. Step 2: Convert to fraction form
    1,854.92/2,559.98 = 1,069.04/x
  3. Step 3: Cross multiply
    1,854.92x = 2,559.98 × 1,069.04
  4. Step 4: Simplify right side
    1,854.92x = 2,736,721.02
  5. Step 5: Solve for x
    x = 2,736,721.02/1,854.92
  6. Step 6: Final answer
    x = 1,475.38

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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.