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Finding the Fourth Proportional to 2,452.68, 3,384.70 and 1,404.74

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Solution

The fourth proportional to 2,452.68, 3,384.70 and 1,404.74 is: 1,938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.68 : 3,384.70 = 1,404.74 : x
  2. Step 2: Convert to fraction form
    2,452.68/3,384.70 = 1,404.74/x
  3. Step 3: Cross multiply
    2,452.68x = 3,384.70 × 1,404.74
  4. Step 4: Simplify right side
    2,452.68x = 4,754,623.48
  5. Step 5: Solve for x
    x = 4,754,623.48/2,452.68
  6. Step 6: Final answer
    x = 1,938.54

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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.