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Finding the Fourth Proportional to 2,435, 3,652.56 and 896

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Solution

The fourth proportional to 2,435, 3,652.56 and 896 is: 1,344.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435 : 3,652.56 = 896 : x
  2. Step 2: Convert to fraction form
    2,435/3,652.56 = 896/x
  3. Step 3: Cross multiply
    2,435x = 3,652.56 × 896
  4. Step 4: Simplify right side
    2,435x = 3,272,693.76
  5. Step 5: Solve for x
    x = 3,272,693.76/2,435
  6. Step 6: Final answer
    x = 1,344.02

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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.