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Finding the Fourth Proportional to 2,053.55, 2,833.02 and 1,267.13

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Solution

The fourth proportional to 2,053.55, 2,833.02 and 1,267.13 is: 1,748.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.55 : 2,833.02 = 1,267.13 : x
  2. Step 2: Convert to fraction form
    2,053.55/2,833.02 = 1,267.13/x
  3. Step 3: Cross multiply
    2,053.55x = 2,833.02 × 1,267.13
  4. Step 4: Simplify right side
    2,053.55x = 3,589,790.47
  5. Step 5: Solve for x
    x = 3,589,790.47/2,053.55
  6. Step 6: Final answer
    x = 1,748.09

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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.