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Finding the Fourth Proportional to 2,340.46, 3,510.72 and 780.46

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Solution

The fourth proportional to 2,340.46, 3,510.72 and 780.46 is: 1,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.46 : 3,510.72 = 780.46 : x
  2. Step 2: Convert to fraction form
    2,340.46/3,510.72 = 780.46/x
  3. Step 3: Cross multiply
    2,340.46x = 3,510.72 × 780.46
  4. Step 4: Simplify right side
    2,340.46x = 2,739,976.53
  5. Step 5: Solve for x
    x = 2,739,976.53/2,340.46
  6. Step 6: Final answer
    x = 1,170.70

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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.