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Finding the Fourth Proportional to 2,951.76, 4,073.58 and 1,772.88

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Solution

The fourth proportional to 2,951.76, 4,073.58 and 1,772.88 is: 2,446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.76 : 4,073.58 = 1,772.88 : x
  2. Step 2: Convert to fraction form
    2,951.76/4,073.58 = 1,772.88/x
  3. Step 3: Cross multiply
    2,951.76x = 4,073.58 × 1,772.88
  4. Step 4: Simplify right side
    2,951.76x = 7,221,968.51
  5. Step 5: Solve for x
    x = 7,221,968.51/2,951.76
  6. Step 6: Final answer
    x = 2,446.67

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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.