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Finding the Fourth Proportional to 2,306.77, 3,460.16 and 1,989.66

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Solution

The fourth proportional to 2,306.77, 3,460.16 and 1,989.66 is: 2,984.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.77 : 3,460.16 = 1,989.66 : x
  2. Step 2: Convert to fraction form
    2,306.77/3,460.16 = 1,989.66/x
  3. Step 3: Cross multiply
    2,306.77x = 3,460.16 × 1,989.66
  4. Step 4: Simplify right side
    2,306.77x = 6,884,541.95
  5. Step 5: Solve for x
    x = 6,884,541.95/2,306.77
  6. Step 6: Final answer
    x = 2,984.49

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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.