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Finding the Fourth Proportional to 2,931.58, 4,396.56 and 982.72

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Solution

The fourth proportional to 2,931.58, 4,396.56 and 982.72 is: 1,473.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.58 : 4,396.56 = 982.72 : x
  2. Step 2: Convert to fraction form
    2,931.58/4,396.56 = 982.72/x
  3. Step 3: Cross multiply
    2,931.58x = 4,396.56 × 982.72
  4. Step 4: Simplify right side
    2,931.58x = 4,320,587.44
  5. Step 5: Solve for x
    x = 4,320,587.44/2,931.58
  6. Step 6: Final answer
    x = 1,473.81

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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.