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Finding the Fourth Proportional to 2,864.66, 4,297.52 and 1,133.42

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Solution

The fourth proportional to 2,864.66, 4,297.52 and 1,133.42 is: 1,700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.66 : 4,297.52 = 1,133.42 : x
  2. Step 2: Convert to fraction form
    2,864.66/4,297.52 = 1,133.42/x
  3. Step 3: Cross multiply
    2,864.66x = 4,297.52 × 1,133.42
  4. Step 4: Simplify right side
    2,864.66x = 4,870,876.46
  5. Step 5: Solve for x
    x = 4,870,876.46/2,864.66
  6. Step 6: Final answer
    x = 1,700.34

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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.