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Finding the Fourth Proportional to 2,392.56, 3,588.57 and 832.50

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Solution

The fourth proportional to 2,392.56, 3,588.57 and 832.50 is: 1,248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.56 : 3,588.57 = 832.50 : x
  2. Step 2: Convert to fraction form
    2,392.56/3,588.57 = 832.50/x
  3. Step 3: Cross multiply
    2,392.56x = 3,588.57 × 832.50
  4. Step 4: Simplify right side
    2,392.56x = 2,987,484.53
  5. Step 5: Solve for x
    x = 2,987,484.53/2,392.56
  6. Step 6: Final answer
    x = 1,248.66

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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.