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Finding the Fourth Proportional to 2,678.98, 4,018.47 and 731.17

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Solution

The fourth proportional to 2,678.98, 4,018.47 and 731.17 is: 1,096.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.98 : 4,018.47 = 731.17 : x
  2. Step 2: Convert to fraction form
    2,678.98/4,018.47 = 731.17/x
  3. Step 3: Cross multiply
    2,678.98x = 4,018.47 × 731.17
  4. Step 4: Simplify right side
    2,678.98x = 2,938,184.71
  5. Step 5: Solve for x
    x = 2,938,184.71/2,678.98
  6. Step 6: Final answer
    x = 1,096.76

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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.