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Finding the Fourth Proportional to 1,839.96, 2,538.86 and 1,053.86

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Solution

The fourth proportional to 1,839.96, 2,538.86 and 1,053.86 is: 1,454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.96 : 2,538.86 = 1,053.86 : x
  2. Step 2: Convert to fraction form
    1,839.96/2,538.86 = 1,053.86/x
  3. Step 3: Cross multiply
    1,839.96x = 2,538.86 × 1,053.86
  4. Step 4: Simplify right side
    1,839.96x = 2,675,585.04
  5. Step 5: Solve for x
    x = 2,675,585.04/1,839.96
  6. Step 6: Final answer
    x = 1,454.15

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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.