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Finding the Fourth Proportional to 2,175.89, 3,264.14 and 877.25

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Solution

The fourth proportional to 2,175.89, 3,264.14 and 877.25 is: 1,316.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.89 : 3,264.14 = 877.25 : x
  2. Step 2: Convert to fraction form
    2,175.89/3,264.14 = 877.25/x
  3. Step 3: Cross multiply
    2,175.89x = 3,264.14 × 877.25
  4. Step 4: Simplify right side
    2,175.89x = 2,863,462.43
  5. Step 5: Solve for x
    x = 2,863,462.43/2,175.89
  6. Step 6: Final answer
    x = 1,316.00

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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.