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Finding the Fourth Proportional to 2,931.85, 4,398.44 and 984

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Solution

The fourth proportional to 2,931.85, 4,398.44 and 984 is: 1,476.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.85 : 4,398.44 = 984 : x
  2. Step 2: Convert to fraction form
    2,931.85/4,398.44 = 984/x
  3. Step 3: Cross multiply
    2,931.85x = 4,398.44 × 984
  4. Step 4: Simplify right side
    2,931.85x = 4,328,060.04
  5. Step 5: Solve for x
    x = 4,328,060.04/2,931.85
  6. Step 6: Final answer
    x = 1,476.22

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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.