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Finding the Fourth Proportional to 1,843.88, 2,537 and 1,594.40

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Solution

The fourth proportional to 1,843.88, 2,537 and 1,594.40 is: 2,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.88 : 2,537 = 1,594.40 : x
  2. Step 2: Convert to fraction form
    1,843.88/2,537 = 1,594.40/x
  3. Step 3: Cross multiply
    1,843.88x = 2,537 × 1,594.40
  4. Step 4: Simplify right side
    1,843.88x = 4,044,992.80
  5. Step 5: Solve for x
    x = 4,044,992.80/1,843.88
  6. Step 6: Final answer
    x = 2,193.74

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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.