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Finding the Fourth Proportional to 2,825.32, 4,236.62 and 877.16

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Solution

The fourth proportional to 2,825.32, 4,236.62 and 877.16 is: 1,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.32 : 4,236.62 = 877.16 : x
  2. Step 2: Convert to fraction form
    2,825.32/4,236.62 = 877.16/x
  3. Step 3: Cross multiply
    2,825.32x = 4,236.62 × 877.16
  4. Step 4: Simplify right side
    2,825.32x = 3,716,193.60
  5. Step 5: Solve for x
    x = 3,716,193.60/2,825.32
  6. Step 6: Final answer
    x = 1,315.32

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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.