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Finding the Fourth Proportional to 2,132.26, 3,195.13 and 899.00

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Solution

The fourth proportional to 2,132.26, 3,195.13 and 899.00 is: 1,347.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.26 : 3,195.13 = 899.00 : x
  2. Step 2: Convert to fraction form
    2,132.26/3,195.13 = 899.00/x
  3. Step 3: Cross multiply
    2,132.26x = 3,195.13 × 899.00
  4. Step 4: Simplify right side
    2,132.26x = 2,872,417.31
  5. Step 5: Solve for x
    x = 2,872,417.31/2,132.26
  6. Step 6: Final answer
    x = 1,347.12

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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.