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Finding the Fourth Proportional to 1,973.89, 2,961.29 and 587.19

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Solution

The fourth proportional to 1,973.89, 2,961.29 and 587.19 is: 880.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.89 : 2,961.29 = 587.19 : x
  2. Step 2: Convert to fraction form
    1,973.89/2,961.29 = 587.19/x
  3. Step 3: Cross multiply
    1,973.89x = 2,961.29 × 587.19
  4. Step 4: Simplify right side
    1,973.89x = 1,738,839.88
  5. Step 5: Solve for x
    x = 1,738,839.88/1,973.89
  6. Step 6: Final answer
    x = 880.92

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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.