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Finding the Fourth Proportional to 2,354.94, 3,248.10 and 1,608.12

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Solution

The fourth proportional to 2,354.94, 3,248.10 and 1,608.12 is: 2,218.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.94 : 3,248.10 = 1,608.12 : x
  2. Step 2: Convert to fraction form
    2,354.94/3,248.10 = 1,608.12/x
  3. Step 3: Cross multiply
    2,354.94x = 3,248.10 × 1,608.12
  4. Step 4: Simplify right side
    2,354.94x = 5,223,334.57
  5. Step 5: Solve for x
    x = 5,223,334.57/2,354.94
  6. Step 6: Final answer
    x = 2,218.03

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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.