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Finding the Fourth Proportional to 2,931.16, 4,395.82 and 982.91

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Solution

The fourth proportional to 2,931.16, 4,395.82 and 982.91 is: 1,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.16 : 4,395.82 = 982.91 : x
  2. Step 2: Convert to fraction form
    2,931.16/4,395.82 = 982.91/x
  3. Step 3: Cross multiply
    2,931.16x = 4,395.82 × 982.91
  4. Step 4: Simplify right side
    2,931.16x = 4,320,673.46
  5. Step 5: Solve for x
    x = 4,320,673.46/2,931.16
  6. Step 6: Final answer
    x = 1,474.05

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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.