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Finding the Fourth Proportional to 2,108.04, 2,909.04 and 1,176.48

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Solution

The fourth proportional to 2,108.04, 2,909.04 and 1,176.48 is: 1,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.04 : 2,909.04 = 1,176.48 : x
  2. Step 2: Convert to fraction form
    2,108.04/2,909.04 = 1,176.48/x
  3. Step 3: Cross multiply
    2,108.04x = 2,909.04 × 1,176.48
  4. Step 4: Simplify right side
    2,108.04x = 3,422,427.38
  5. Step 5: Solve for x
    x = 3,422,427.38/2,108.04
  6. Step 6: Final answer
    x = 1,623.51

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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.