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Finding the Fourth Proportional to 1,290.92, 1,936.54 and 944.68

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Solution

The fourth proportional to 1,290.92, 1,936.54 and 944.68 is: 1,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.92 : 1,936.54 = 944.68 : x
  2. Step 2: Convert to fraction form
    1,290.92/1,936.54 = 944.68/x
  3. Step 3: Cross multiply
    1,290.92x = 1,936.54 × 944.68
  4. Step 4: Simplify right side
    1,290.92x = 1,829,410.61
  5. Step 5: Solve for x
    x = 1,829,410.61/1,290.92
  6. Step 6: Final answer
    x = 1,417.14

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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.