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Finding the Fourth Proportional to 1,723.64, 2,378.10 and 977.48

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Solution

The fourth proportional to 1,723.64, 2,378.10 and 977.48 is: 1,348.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.64 : 2,378.10 = 977.48 : x
  2. Step 2: Convert to fraction form
    1,723.64/2,378.10 = 977.48/x
  3. Step 3: Cross multiply
    1,723.64x = 2,378.10 × 977.48
  4. Step 4: Simplify right side
    1,723.64x = 2,324,545.19
  5. Step 5: Solve for x
    x = 2,324,545.19/1,723.64
  6. Step 6: Final answer
    x = 1,348.63

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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.