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Finding the Fourth Proportional to 2,073.80, 2,862.10 and 1,189.58

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Solution

The fourth proportional to 2,073.80, 2,862.10 and 1,189.58 is: 1,641.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.80 : 2,862.10 = 1,189.58 : x
  2. Step 2: Convert to fraction form
    2,073.80/2,862.10 = 1,189.58/x
  3. Step 3: Cross multiply
    2,073.80x = 2,862.10 × 1,189.58
  4. Step 4: Simplify right side
    2,073.80x = 3,404,696.92
  5. Step 5: Solve for x
    x = 3,404,696.92/2,073.80
  6. Step 6: Final answer
    x = 1,641.77

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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.