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Finding the Fourth Proportional to 2,397.85, 3,594.33 and 934.99

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Solution

The fourth proportional to 2,397.85, 3,594.33 and 934.99 is: 1,401.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.85 : 3,594.33 = 934.99 : x
  2. Step 2: Convert to fraction form
    2,397.85/3,594.33 = 934.99/x
  3. Step 3: Cross multiply
    2,397.85x = 3,594.33 × 934.99
  4. Step 4: Simplify right side
    2,397.85x = 3,360,662.61
  5. Step 5: Solve for x
    x = 3,360,662.61/2,397.85
  6. Step 6: Final answer
    x = 1,401.53

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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.