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Finding the Fourth Proportional to 2,098.51, 2,892.71 and 1,538.19

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Solution

The fourth proportional to 2,098.51, 2,892.71 and 1,538.19 is: 2,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.51 : 2,892.71 = 1,538.19 : x
  2. Step 2: Convert to fraction form
    2,098.51/2,892.71 = 1,538.19/x
  3. Step 3: Cross multiply
    2,098.51x = 2,892.71 × 1,538.19
  4. Step 4: Simplify right side
    2,098.51x = 4,449,541.44
  5. Step 5: Solve for x
    x = 4,449,541.44/2,098.51
  6. Step 6: Final answer
    x = 2,120.34

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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.