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Finding the Fourth Proportional to 2,306.42, 3,460.02 and 846.62

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Solution

The fourth proportional to 2,306.42, 3,460.02 and 846.62 is: 1,270.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.42 : 3,460.02 = 846.62 : x
  2. Step 2: Convert to fraction form
    2,306.42/3,460.02 = 846.62/x
  3. Step 3: Cross multiply
    2,306.42x = 3,460.02 × 846.62
  4. Step 4: Simplify right side
    2,306.42x = 2,929,322.13
  5. Step 5: Solve for x
    x = 2,929,322.13/2,306.42
  6. Step 6: Final answer
    x = 1,270.07

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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.