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Finding the Fourth Proportional to 2,326.16, 3,489.39 and 1,027.63

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Solution

The fourth proportional to 2,326.16, 3,489.39 and 1,027.63 is: 1,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.16 : 3,489.39 = 1,027.63 : x
  2. Step 2: Convert to fraction form
    2,326.16/3,489.39 = 1,027.63/x
  3. Step 3: Cross multiply
    2,326.16x = 3,489.39 × 1,027.63
  4. Step 4: Simplify right side
    2,326.16x = 3,585,784.40
  5. Step 5: Solve for x
    x = 3,585,784.40/2,326.16
  6. Step 6: Final answer
    x = 1,541.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.