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Finding the Fourth Proportional to 1,267.60, 1,896.52 and 944.40

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Solution

The fourth proportional to 1,267.60, 1,896.52 and 944.40 is: 1,412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.60 : 1,896.52 = 944.40 : x
  2. Step 2: Convert to fraction form
    1,267.60/1,896.52 = 944.40/x
  3. Step 3: Cross multiply
    1,267.60x = 1,896.52 × 944.40
  4. Step 4: Simplify right side
    1,267.60x = 1,791,073.49
  5. Step 5: Solve for x
    x = 1,791,073.49/1,267.60
  6. Step 6: Final answer
    x = 1,412.96

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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.