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Finding the Fourth Proportional to 2,353.64, 3,248.00 and 1,291.38

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Solution

The fourth proportional to 2,353.64, 3,248.00 and 1,291.38 is: 1,782.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.64 : 3,248.00 = 1,291.38 : x
  2. Step 2: Convert to fraction form
    2,353.64/3,248.00 = 1,291.38/x
  3. Step 3: Cross multiply
    2,353.64x = 3,248.00 × 1,291.38
  4. Step 4: Simplify right side
    2,353.64x = 4,194,395.78
  5. Step 5: Solve for x
    x = 4,194,395.78/2,353.64
  6. Step 6: Final answer
    x = 1,782.09

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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.