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Finding the Fourth Proportional to 2,397, 3,594.14 and 1,423.79

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Solution

The fourth proportional to 2,397, 3,594.14 and 1,423.79 is: 2,134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397 : 3,594.14 = 1,423.79 : x
  2. Step 2: Convert to fraction form
    2,397/3,594.14 = 1,423.79/x
  3. Step 3: Cross multiply
    2,397x = 3,594.14 × 1,423.79
  4. Step 4: Simplify right side
    2,397x = 5,117,275.50
  5. Step 5: Solve for x
    x = 5,117,275.50/2,397
  6. Step 6: Final answer
    x = 2,134.87

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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.