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Finding the Fourth Proportional to 2,356.90, 3,252.18 and 1,412.48

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Solution

The fourth proportional to 2,356.90, 3,252.18 and 1,412.48 is: 1,949.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.90 : 3,252.18 = 1,412.48 : x
  2. Step 2: Convert to fraction form
    2,356.90/3,252.18 = 1,412.48/x
  3. Step 3: Cross multiply
    2,356.90x = 3,252.18 × 1,412.48
  4. Step 4: Simplify right side
    2,356.90x = 4,593,639.21
  5. Step 5: Solve for x
    x = 4,593,639.21/2,356.90
  6. Step 6: Final answer
    x = 1,949.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.