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Finding the Fourth Proportional to 2,812.64, 4,218.95 and 1,252.24

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Solution

The fourth proportional to 2,812.64, 4,218.95 and 1,252.24 is: 1,878.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.64 : 4,218.95 = 1,252.24 : x
  2. Step 2: Convert to fraction form
    2,812.64/4,218.95 = 1,252.24/x
  3. Step 3: Cross multiply
    2,812.64x = 4,218.95 × 1,252.24
  4. Step 4: Simplify right side
    2,812.64x = 5,283,130.53
  5. Step 5: Solve for x
    x = 5,283,130.53/2,812.64
  6. Step 6: Final answer
    x = 1,878.36

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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.