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Finding the Fourth Proportional to 2,356.86, 3,252.24 and 1,294.57

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Solution

The fourth proportional to 2,356.86, 3,252.24 and 1,294.57 is: 1,786.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.86 : 3,252.24 = 1,294.57 : x
  2. Step 2: Convert to fraction form
    2,356.86/3,252.24 = 1,294.57/x
  3. Step 3: Cross multiply
    2,356.86x = 3,252.24 × 1,294.57
  4. Step 4: Simplify right side
    2,356.86x = 4,210,252.34
  5. Step 5: Solve for x
    x = 4,210,252.34/2,356.86
  6. Step 6: Final answer
    x = 1,786.38

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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.