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Finding the Fourth Proportional to 1,578.56, 2,177.51 and 988.07

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Solution

The fourth proportional to 1,578.56, 2,177.51 and 988.07 is: 1,362.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.56 : 2,177.51 = 988.07 : x
  2. Step 2: Convert to fraction form
    1,578.56/2,177.51 = 988.07/x
  3. Step 3: Cross multiply
    1,578.56x = 2,177.51 × 988.07
  4. Step 4: Simplify right side
    1,578.56x = 2,151,516.48
  5. Step 5: Solve for x
    x = 2,151,516.48/1,578.56
  6. Step 6: Final answer
    x = 1,362.97

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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.