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Finding the Fourth Proportional to 1,815.61, 2,724.62 and 661.36

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Solution

The fourth proportional to 1,815.61, 2,724.62 and 661.36 is: 992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.61 : 2,724.62 = 661.36 : x
  2. Step 2: Convert to fraction form
    1,815.61/2,724.62 = 661.36/x
  3. Step 3: Cross multiply
    1,815.61x = 2,724.62 × 661.36
  4. Step 4: Simplify right side
    1,815.61x = 1,801,937.75
  5. Step 5: Solve for x
    x = 1,801,937.75/1,815.61
  6. Step 6: Final answer
    x = 992.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.