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Finding the Fourth Proportional to 1,384.45, 2,073.47 and 1,261.42

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Solution

The fourth proportional to 1,384.45, 2,073.47 and 1,261.42 is: 1,889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.45 : 2,073.47 = 1,261.42 : x
  2. Step 2: Convert to fraction form
    1,384.45/2,073.47 = 1,261.42/x
  3. Step 3: Cross multiply
    1,384.45x = 2,073.47 × 1,261.42
  4. Step 4: Simplify right side
    1,384.45x = 2,615,505.04
  5. Step 5: Solve for x
    x = 2,615,505.04/1,384.45
  6. Step 6: Final answer
    x = 1,889.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.