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Finding the Fourth Proportional to 2,966.76, 4,449.78 and 1,018.86

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Solution

The fourth proportional to 2,966.76, 4,449.78 and 1,018.86 is: 1,528.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.76 : 4,449.78 = 1,018.86 : x
  2. Step 2: Convert to fraction form
    2,966.76/4,449.78 = 1,018.86/x
  3. Step 3: Cross multiply
    2,966.76x = 4,449.78 × 1,018.86
  4. Step 4: Simplify right side
    2,966.76x = 4,533,702.85
  5. Step 5: Solve for x
    x = 4,533,702.85/2,966.76
  6. Step 6: Final answer
    x = 1,528.17

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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.