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Finding the Fourth Proportional to 2,036.86, 3,056.08 and 867.12

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Solution

The fourth proportional to 2,036.86, 3,056.08 and 867.12 is: 1,301.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.86 : 3,056.08 = 867.12 : x
  2. Step 2: Convert to fraction form
    2,036.86/3,056.08 = 867.12/x
  3. Step 3: Cross multiply
    2,036.86x = 3,056.08 × 867.12
  4. Step 4: Simplify right side
    2,036.86x = 2,649,988.09
  5. Step 5: Solve for x
    x = 2,649,988.09/2,036.86
  6. Step 6: Final answer
    x = 1,301.02

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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.