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Finding the Fourth Proportional to 2,331.76, 3,216.63 and 1,534.96

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Solution

The fourth proportional to 2,331.76, 3,216.63 and 1,534.96 is: 2,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.76 : 3,216.63 = 1,534.96 : x
  2. Step 2: Convert to fraction form
    2,331.76/3,216.63 = 1,534.96/x
  3. Step 3: Cross multiply
    2,331.76x = 3,216.63 × 1,534.96
  4. Step 4: Simplify right side
    2,331.76x = 4,937,398.38
  5. Step 5: Solve for x
    x = 4,937,398.38/2,331.76
  6. Step 6: Final answer
    x = 2,117.46

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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.