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Finding the Fourth Proportional to 2,130.53, 3,195.31 and 591.65

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Solution

The fourth proportional to 2,130.53, 3,195.31 and 591.65 is: 887.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.53 : 3,195.31 = 591.65 : x
  2. Step 2: Convert to fraction form
    2,130.53/3,195.31 = 591.65/x
  3. Step 3: Cross multiply
    2,130.53x = 3,195.31 × 591.65
  4. Step 4: Simplify right side
    2,130.53x = 1,890,505.16
  5. Step 5: Solve for x
    x = 1,890,505.16/2,130.53
  6. Step 6: Final answer
    x = 887.34

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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.