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Finding the Fourth Proportional to 1,584.24, 2,364.16 and 1,482.24

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Solution

The fourth proportional to 1,584.24, 2,364.16 and 1,482.24 is: 2,211.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.24 : 2,364.16 = 1,482.24 : x
  2. Step 2: Convert to fraction form
    1,584.24/2,364.16 = 1,482.24/x
  3. Step 3: Cross multiply
    1,584.24x = 2,364.16 × 1,482.24
  4. Step 4: Simplify right side
    1,584.24x = 3,504,252.52
  5. Step 5: Solve for x
    x = 3,504,252.52/1,584.24
  6. Step 6: Final answer
    x = 2,211.95

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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.