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Finding the Fourth Proportional to 2,934.40, 4,402 and 986.34

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Solution

The fourth proportional to 2,934.40, 4,402 and 986.34 is: 1,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.40 : 4,402 = 986.34 : x
  2. Step 2: Convert to fraction form
    2,934.40/4,402 = 986.34/x
  3. Step 3: Cross multiply
    2,934.40x = 4,402 × 986.34
  4. Step 4: Simplify right side
    2,934.40x = 4,341,868.68
  5. Step 5: Solve for x
    x = 4,341,868.68/2,934.40
  6. Step 6: Final answer
    x = 1,479.64

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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.