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Finding the Fourth Proportional to 1,510, 2,083.84 and 846.83

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Solution

The fourth proportional to 1,510, 2,083.84 and 846.83 is: 1,168.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510 : 2,083.84 = 846.83 : x
  2. Step 2: Convert to fraction form
    1,510/2,083.84 = 846.83/x
  3. Step 3: Cross multiply
    1,510x = 2,083.84 × 846.83
  4. Step 4: Simplify right side
    1,510x = 1,764,658.23
  5. Step 5: Solve for x
    x = 1,764,658.23/1,510
  6. Step 6: Final answer
    x = 1,168.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.