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Finding the Fourth Proportional to 1,584.83, 2,366.11 and 1,429.31

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Solution

The fourth proportional to 1,584.83, 2,366.11 and 1,429.31 is: 2,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.83 : 2,366.11 = 1,429.31 : x
  2. Step 2: Convert to fraction form
    1,584.83/2,366.11 = 1,429.31/x
  3. Step 3: Cross multiply
    1,584.83x = 2,366.11 × 1,429.31
  4. Step 4: Simplify right side
    1,584.83x = 3,381,904.68
  5. Step 5: Solve for x
    x = 3,381,904.68/1,584.83
  6. Step 6: Final answer
    x = 2,133.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.