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Finding the Fourth Proportional to 1,584.75, 2,366.52 and 1,366.05

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Solution

The fourth proportional to 1,584.75, 2,366.52 and 1,366.05 is: 2,039.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.75 : 2,366.52 = 1,366.05 : x
  2. Step 2: Convert to fraction form
    1,584.75/2,366.52 = 1,366.05/x
  3. Step 3: Cross multiply
    1,584.75x = 2,366.52 × 1,366.05
  4. Step 4: Simplify right side
    1,584.75x = 3,232,784.65
  5. Step 5: Solve for x
    x = 3,232,784.65/1,584.75
  6. Step 6: Final answer
    x = 2,039.93

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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.