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Finding the Fourth Proportional to 2,934.59, 4,401.95 and 986.81

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Solution

The fourth proportional to 2,934.59, 4,401.95 and 986.81 is: 1,480.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.59 : 4,401.95 = 986.81 : x
  2. Step 2: Convert to fraction form
    2,934.59/4,401.95 = 986.81/x
  3. Step 3: Cross multiply
    2,934.59x = 4,401.95 × 986.81
  4. Step 4: Simplify right side
    2,934.59x = 4,343,888.28
  5. Step 5: Solve for x
    x = 4,343,888.28/2,934.59
  6. Step 6: Final answer
    x = 1,480.24

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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.