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Finding the Fourth Proportional to 2,599.92, 3,586.01 and 1,654.78

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Solution

The fourth proportional to 2,599.92, 3,586.01 and 1,654.78 is: 2,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.92 : 3,586.01 = 1,654.78 : x
  2. Step 2: Convert to fraction form
    2,599.92/3,586.01 = 1,654.78/x
  3. Step 3: Cross multiply
    2,599.92x = 3,586.01 × 1,654.78
  4. Step 4: Simplify right side
    2,599.92x = 5,934,057.63
  5. Step 5: Solve for x
    x = 5,934,057.63/2,599.92
  6. Step 6: Final answer
    x = 2,282.40

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1.5x scale

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.