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Finding the Fourth Proportional to 1,832.30, 2,528.56 and 992.98

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Solution

The fourth proportional to 1,832.30, 2,528.56 and 992.98 is: 1,370.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.30 : 2,528.56 = 992.98 : x
  2. Step 2: Convert to fraction form
    1,832.30/2,528.56 = 992.98/x
  3. Step 3: Cross multiply
    1,832.30x = 2,528.56 × 992.98
  4. Step 4: Simplify right side
    1,832.30x = 2,510,809.51
  5. Step 5: Solve for x
    x = 2,510,809.51/1,832.30
  6. Step 6: Final answer
    x = 1,370.30

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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.