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Finding the Fourth Proportional to 1,854.84, 2,559.66 and 1,069

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Solution

The fourth proportional to 1,854.84, 2,559.66 and 1,069 is: 1,475.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.84 : 2,559.66 = 1,069 : x
  2. Step 2: Convert to fraction form
    1,854.84/2,559.66 = 1,069/x
  3. Step 3: Cross multiply
    1,854.84x = 2,559.66 × 1,069
  4. Step 4: Simplify right side
    1,854.84x = 2,736,276.54
  5. Step 5: Solve for x
    x = 2,736,276.54/1,854.84
  6. Step 6: Final answer
    x = 1,475.21

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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.