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Finding the Fourth Proportional to 2,323.10, 3,484.67 and 591.72

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Solution

The fourth proportional to 2,323.10, 3,484.67 and 591.72 is: 887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.10 : 3,484.67 = 591.72 : x
  2. Step 2: Convert to fraction form
    2,323.10/3,484.67 = 591.72/x
  3. Step 3: Cross multiply
    2,323.10x = 3,484.67 × 591.72
  4. Step 4: Simplify right side
    2,323.10x = 2,061,945.97
  5. Step 5: Solve for x
    x = 2,061,945.97/2,323.10
  6. Step 6: Final answer
    x = 887.59

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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.