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Finding the Fourth Proportional to 1,378.59, 1,906.20 and 1,356.34

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Solution

The fourth proportional to 1,378.59, 1,906.20 and 1,356.34 is: 1,875.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.59 : 1,906.20 = 1,356.34 : x
  2. Step 2: Convert to fraction form
    1,378.59/1,906.20 = 1,356.34/x
  3. Step 3: Cross multiply
    1,378.59x = 1,906.20 × 1,356.34
  4. Step 4: Simplify right side
    1,378.59x = 2,585,455.31
  5. Step 5: Solve for x
    x = 2,585,455.31/1,378.59
  6. Step 6: Final answer
    x = 1,875.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.