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Finding the Fourth Proportional to 1,289.04, 1,921.14 and 1,278.30

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Solution

The fourth proportional to 1,289.04, 1,921.14 and 1,278.30 is: 1,905.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.04 : 1,921.14 = 1,278.30 : x
  2. Step 2: Convert to fraction form
    1,289.04/1,921.14 = 1,278.30/x
  3. Step 3: Cross multiply
    1,289.04x = 1,921.14 × 1,278.30
  4. Step 4: Simplify right side
    1,289.04x = 2,455,793.26
  5. Step 5: Solve for x
    x = 2,455,793.26/1,289.04
  6. Step 6: Final answer
    x = 1,905.13

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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.