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Finding the Fourth Proportional to 2,340.69, 3,510.80 and 780.53

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Solution

The fourth proportional to 2,340.69, 3,510.80 and 780.53 is: 1,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.69 : 3,510.80 = 780.53 : x
  2. Step 2: Convert to fraction form
    2,340.69/3,510.80 = 780.53/x
  3. Step 3: Cross multiply
    2,340.69x = 3,510.80 × 780.53
  4. Step 4: Simplify right side
    2,340.69x = 2,740,267.17
  5. Step 5: Solve for x
    x = 2,740,267.17/2,340.69
  6. Step 6: Final answer
    x = 1,170.71

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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.