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Finding the Fourth Proportional to 1,378.66, 1,901.57 and 974.24

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Solution

The fourth proportional to 1,378.66, 1,901.57 and 974.24 is: 1,343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.66 : 1,901.57 = 974.24 : x
  2. Step 2: Convert to fraction form
    1,378.66/1,901.57 = 974.24/x
  3. Step 3: Cross multiply
    1,378.66x = 1,901.57 × 974.24
  4. Step 4: Simplify right side
    1,378.66x = 1,852,585.56
  5. Step 5: Solve for x
    x = 1,852,585.56/1,378.66
  6. Step 6: Final answer
    x = 1,343.76

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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.