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Finding the Fourth Proportional to 2,356.60, 3,252.14 and 1,294.21

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Solution

The fourth proportional to 2,356.60, 3,252.14 and 1,294.21 is: 1,786.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.60 : 3,252.14 = 1,294.21 : x
  2. Step 2: Convert to fraction form
    2,356.60/3,252.14 = 1,294.21/x
  3. Step 3: Cross multiply
    2,356.60x = 3,252.14 × 1,294.21
  4. Step 4: Simplify right side
    2,356.60x = 4,208,952.11
  5. Step 5: Solve for x
    x = 4,208,952.11/2,356.60
  6. Step 6: Final answer
    x = 1,786.03

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Why These Related Problems?

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