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Finding the Fourth Proportional to 2,356.56, 3,252.10 and 1,294.36

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Solution

The fourth proportional to 2,356.56, 3,252.10 and 1,294.36 is: 1,786.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.56 : 3,252.10 = 1,294.36 : x
  2. Step 2: Convert to fraction form
    2,356.56/3,252.10 = 1,294.36/x
  3. Step 3: Cross multiply
    2,356.56x = 3,252.10 × 1,294.36
  4. Step 4: Simplify right side
    2,356.56x = 4,209,388.16
  5. Step 5: Solve for x
    x = 4,209,388.16/2,356.56
  6. Step 6: Final answer
    x = 1,786.24

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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.