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Finding the Fourth Proportional to 2,934.90, 4,402.35 and 986.90

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Solution

The fourth proportional to 2,934.90, 4,402.35 and 986.90 is: 1,480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.90 : 4,402.35 = 986.90 : x
  2. Step 2: Convert to fraction form
    2,934.90/4,402.35 = 986.90/x
  3. Step 3: Cross multiply
    2,934.90x = 4,402.35 × 986.90
  4. Step 4: Simplify right side
    2,934.90x = 4,344,679.22
  5. Step 5: Solve for x
    x = 4,344,679.22/2,934.90
  6. Step 6: Final answer
    x = 1,480.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.