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Finding the Fourth Proportional to 3,071.74, 4,606.74 and 879.88

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Solution

The fourth proportional to 3,071.74, 4,606.74 and 879.88 is: 1,319.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.74 : 4,606.74 = 879.88 : x
  2. Step 2: Convert to fraction form
    3,071.74/4,606.74 = 879.88/x
  3. Step 3: Cross multiply
    3,071.74x = 4,606.74 × 879.88
  4. Step 4: Simplify right side
    3,071.74x = 4,053,378.39
  5. Step 5: Solve for x
    x = 4,053,378.39/3,071.74
  6. Step 6: Final answer
    x = 1,319.57

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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.