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Finding the Fourth Proportional to 2,237.89, 3,357 and 594.40

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Solution

The fourth proportional to 2,237.89, 3,357 and 594.40 is: 891.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.89 : 3,357 = 594.40 : x
  2. Step 2: Convert to fraction form
    2,237.89/3,357 = 594.40/x
  3. Step 3: Cross multiply
    2,237.89x = 3,357 × 594.40
  4. Step 4: Simplify right side
    2,237.89x = 1,995,400.80
  5. Step 5: Solve for x
    x = 1,995,400.80/2,237.89
  6. Step 6: Final answer
    x = 891.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.