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Finding the Fourth Proportional to 2,356.64, 3,252.25 and 1,412.58

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Solution

The fourth proportional to 2,356.64, 3,252.25 and 1,412.58 is: 1,949.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.64 : 3,252.25 = 1,412.58 : x
  2. Step 2: Convert to fraction form
    2,356.64/3,252.25 = 1,412.58/x
  3. Step 3: Cross multiply
    2,356.64x = 3,252.25 × 1,412.58
  4. Step 4: Simplify right side
    2,356.64x = 4,594,077.27
  5. Step 5: Solve for x
    x = 4,594,077.27/2,356.64
  6. Step 6: Final answer
    x = 1,949.42

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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.