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Finding the Fourth Proportional to 1,872.64, 2,584.80 and 1,209.48

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Solution

The fourth proportional to 1,872.64, 2,584.80 and 1,209.48 is: 1,669.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.64 : 2,584.80 = 1,209.48 : x
  2. Step 2: Convert to fraction form
    1,872.64/2,584.80 = 1,209.48/x
  3. Step 3: Cross multiply
    1,872.64x = 2,584.80 × 1,209.48
  4. Step 4: Simplify right side
    1,872.64x = 3,126,263.90
  5. Step 5: Solve for x
    x = 3,126,263.90/1,872.64
  6. Step 6: Final answer
    x = 1,669.44

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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.