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Finding the Fourth Proportional to 1,510.92, 2,267.51 and 780.39

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Solution

The fourth proportional to 1,510.92, 2,267.51 and 780.39 is: 1,171.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.92 : 2,267.51 = 780.39 : x
  2. Step 2: Convert to fraction form
    1,510.92/2,267.51 = 780.39/x
  3. Step 3: Cross multiply
    1,510.92x = 2,267.51 × 780.39
  4. Step 4: Simplify right side
    1,510.92x = 1,769,538.23
  5. Step 5: Solve for x
    x = 1,769,538.23/1,510.92
  6. Step 6: Final answer
    x = 1,171.17

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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.