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Finding the Fourth Proportional to 3,065.42, 4,598.40 and 985.61

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Solution

The fourth proportional to 3,065.42, 4,598.40 and 985.61 is: 1,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.42 : 4,598.40 = 985.61 : x
  2. Step 2: Convert to fraction form
    3,065.42/4,598.40 = 985.61/x
  3. Step 3: Cross multiply
    3,065.42x = 4,598.40 × 985.61
  4. Step 4: Simplify right side
    3,065.42x = 4,532,229.02
  5. Step 5: Solve for x
    x = 4,532,229.02/3,065.42
  6. Step 6: Final answer
    x = 1,478.50

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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.