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Finding the Fourth Proportional to 3,101.46, 4,279.86 and 1,774.86

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Solution

The fourth proportional to 3,101.46, 4,279.86 and 1,774.86 is: 2,449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.46 : 4,279.86 = 1,774.86 : x
  2. Step 2: Convert to fraction form
    3,101.46/4,279.86 = 1,774.86/x
  3. Step 3: Cross multiply
    3,101.46x = 4,279.86 × 1,774.86
  4. Step 4: Simplify right side
    3,101.46x = 7,596,152.32
  5. Step 5: Solve for x
    x = 7,596,152.32/3,101.46
  6. Step 6: Final answer
    x = 2,449.22

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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.