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Finding the Fourth Proportional to 1,974.42, 2,960.56 and 587.56

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Solution

The fourth proportional to 1,974.42, 2,960.56 and 587.56 is: 881.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.42 : 2,960.56 = 587.56 : x
  2. Step 2: Convert to fraction form
    1,974.42/2,960.56 = 587.56/x
  3. Step 3: Cross multiply
    1,974.42x = 2,960.56 × 587.56
  4. Step 4: Simplify right side
    1,974.42x = 1,739,506.63
  5. Step 5: Solve for x
    x = 1,739,506.63/1,974.42
  6. Step 6: Final answer
    x = 881.02

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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.