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Finding the Fourth Proportional to 1,854.73, 2,559.90 and 1,411.84

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Solution

The fourth proportional to 1,854.73, 2,559.90 and 1,411.84 is: 1,948.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.73 : 2,559.90 = 1,411.84 : x
  2. Step 2: Convert to fraction form
    1,854.73/2,559.90 = 1,411.84/x
  3. Step 3: Cross multiply
    1,854.73x = 2,559.90 × 1,411.84
  4. Step 4: Simplify right side
    1,854.73x = 3,614,169.22
  5. Step 5: Solve for x
    x = 3,614,169.22/1,854.73
  6. Step 6: Final answer
    x = 1,948.62

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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.