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Finding the Fourth Proportional to 1,487.56, 2,232.12 and 968.59

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Solution

The fourth proportional to 1,487.56, 2,232.12 and 968.59 is: 1,453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.56 : 2,232.12 = 968.59 : x
  2. Step 2: Convert to fraction form
    1,487.56/2,232.12 = 968.59/x
  3. Step 3: Cross multiply
    1,487.56x = 2,232.12 × 968.59
  4. Step 4: Simplify right side
    1,487.56x = 2,162,009.11
  5. Step 5: Solve for x
    x = 2,162,009.11/1,487.56
  6. Step 6: Final answer
    x = 1,453.39

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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.