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Finding the Fourth Proportional to 3,065.20, 4,600.68 and 1,605.40

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Solution

The fourth proportional to 3,065.20, 4,600.68 and 1,605.40 is: 2,409.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.20 : 4,600.68 = 1,605.40 : x
  2. Step 2: Convert to fraction form
    3,065.20/4,600.68 = 1,605.40/x
  3. Step 3: Cross multiply
    3,065.20x = 4,600.68 × 1,605.40
  4. Step 4: Simplify right side
    3,065.20x = 7,385,931.67
  5. Step 5: Solve for x
    x = 7,385,931.67/3,065.20
  6. Step 6: Final answer
    x = 2,409.61

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