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Finding the Fourth Proportional to 1,283.46, 1,911.95 and 1,203.78

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Solution

The fourth proportional to 1,283.46, 1,911.95 and 1,203.78 is: 1,793.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.46 : 1,911.95 = 1,203.78 : x
  2. Step 2: Convert to fraction form
    1,283.46/1,911.95 = 1,203.78/x
  3. Step 3: Cross multiply
    1,283.46x = 1,911.95 × 1,203.78
  4. Step 4: Simplify right side
    1,283.46x = 2,301,561.15
  5. Step 5: Solve for x
    x = 2,301,561.15/1,283.46
  6. Step 6: Final answer
    x = 1,793.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.