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Finding the Fourth Proportional to 1,584.62, 2,376.57 and 597.54

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Solution

The fourth proportional to 1,584.62, 2,376.57 and 597.54 is: 896.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.62 : 2,376.57 = 597.54 : x
  2. Step 2: Convert to fraction form
    1,584.62/2,376.57 = 597.54/x
  3. Step 3: Cross multiply
    1,584.62x = 2,376.57 × 597.54
  4. Step 4: Simplify right side
    1,584.62x = 1,420,106.79
  5. Step 5: Solve for x
    x = 1,420,106.79/1,584.62
  6. Step 6: Final answer
    x = 896.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.