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Finding the Fourth Proportional to 1,854.44, 2,557 and 1,741.44

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Solution

The fourth proportional to 1,854.44, 2,557 and 1,741.44 is: 2,401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.44 : 2,557 = 1,741.44 : x
  2. Step 2: Convert to fraction form
    1,854.44/2,557 = 1,741.44/x
  3. Step 3: Cross multiply
    1,854.44x = 2,557 × 1,741.44
  4. Step 4: Simplify right side
    1,854.44x = 4,452,862.08
  5. Step 5: Solve for x
    x = 4,452,862.08/1,854.44
  6. Step 6: Final answer
    x = 2,401.19

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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.