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Finding the Fourth Proportional to 1,591.59, 2,384.31 and 896.15

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Solution

The fourth proportional to 1,591.59, 2,384.31 and 896.15 is: 1,342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.59 : 2,384.31 = 896.15 : x
  2. Step 2: Convert to fraction form
    1,591.59/2,384.31 = 896.15/x
  3. Step 3: Cross multiply
    1,591.59x = 2,384.31 × 896.15
  4. Step 4: Simplify right side
    1,591.59x = 2,136,699.41
  5. Step 5: Solve for x
    x = 2,136,699.41/1,591.59
  6. Step 6: Final answer
    x = 1,342.49

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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.