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Finding the Fourth Proportional to 2,493.87, 3,438.87 and 1,654.31

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Solution

The fourth proportional to 2,493.87, 3,438.87 and 1,654.31 is: 2,281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.87 : 3,438.87 = 1,654.31 : x
  2. Step 2: Convert to fraction form
    2,493.87/3,438.87 = 1,654.31/x
  3. Step 3: Cross multiply
    2,493.87x = 3,438.87 × 1,654.31
  4. Step 4: Simplify right side
    2,493.87x = 5,688,939.84
  5. Step 5: Solve for x
    x = 5,688,939.84/2,493.87
  6. Step 6: Final answer
    x = 2,281.17

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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.