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Finding the Fourth Proportional to 1,778.24, 2,453.40 and 992.14

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Solution

The fourth proportional to 1,778.24, 2,453.40 and 992.14 is: 1,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.24 : 2,453.40 = 992.14 : x
  2. Step 2: Convert to fraction form
    1,778.24/2,453.40 = 992.14/x
  3. Step 3: Cross multiply
    1,778.24x = 2,453.40 × 992.14
  4. Step 4: Simplify right side
    1,778.24x = 2,434,116.28
  5. Step 5: Solve for x
    x = 2,434,116.28/1,778.24
  6. Step 6: Final answer
    x = 1,368.83

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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.