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Finding the Fourth Proportional to 1,206.61, 1,813.62 and 1,046.23

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Solution

The fourth proportional to 1,206.61, 1,813.62 and 1,046.23 is: 1,572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.61 : 1,813.62 = 1,046.23 : x
  2. Step 2: Convert to fraction form
    1,206.61/1,813.62 = 1,046.23/x
  3. Step 3: Cross multiply
    1,206.61x = 1,813.62 × 1,046.23
  4. Step 4: Simplify right side
    1,206.61x = 1,897,463.65
  5. Step 5: Solve for x
    x = 1,897,463.65/1,206.61
  6. Step 6: Final answer
    x = 1,572.56

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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.