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Finding the Fourth Proportional to 2,176.25, 3,264.35 and 877.69

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Solution

The fourth proportional to 2,176.25, 3,264.35 and 877.69 is: 1,316.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.25 : 3,264.35 = 877.69 : x
  2. Step 2: Convert to fraction form
    2,176.25/3,264.35 = 877.69/x
  3. Step 3: Cross multiply
    2,176.25x = 3,264.35 × 877.69
  4. Step 4: Simplify right side
    2,176.25x = 2,865,074.80
  5. Step 5: Solve for x
    x = 2,865,074.80/2,176.25
  6. Step 6: Final answer
    x = 1,316.52

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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.