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Finding the Fourth Proportional to 2,357.46, 3,253.16 and 1,362.78

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Solution

The fourth proportional to 2,357.46, 3,253.16 and 1,362.78 is: 1,880.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.46 : 3,253.16 = 1,362.78 : x
  2. Step 2: Convert to fraction form
    2,357.46/3,253.16 = 1,362.78/x
  3. Step 3: Cross multiply
    2,357.46x = 3,253.16 × 1,362.78
  4. Step 4: Simplify right side
    2,357.46x = 4,433,341.38
  5. Step 5: Solve for x
    x = 4,433,341.38/2,357.46
  6. Step 6: Final answer
    x = 1,880.56

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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.