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Finding the Fourth Proportional to 1,810.97, 2,713.80 and 1,069.82

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Solution

The fourth proportional to 1,810.97, 2,713.80 and 1,069.82 is: 1,603.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.97 : 2,713.80 = 1,069.82 : x
  2. Step 2: Convert to fraction form
    1,810.97/2,713.80 = 1,069.82/x
  3. Step 3: Cross multiply
    1,810.97x = 2,713.80 × 1,069.82
  4. Step 4: Simplify right side
    1,810.97x = 2,903,272.17
  5. Step 5: Solve for x
    x = 2,903,272.17/1,810.97
  6. Step 6: Final answer
    x = 1,603.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.