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Finding the Fourth Proportional to 1,699.73, 2,344.75 and 1,069.07

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Solution

The fourth proportional to 1,699.73, 2,344.75 and 1,069.07 is: 1,474.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.73 : 2,344.75 = 1,069.07 : x
  2. Step 2: Convert to fraction form
    1,699.73/2,344.75 = 1,069.07/x
  3. Step 3: Cross multiply
    1,699.73x = 2,344.75 × 1,069.07
  4. Step 4: Simplify right side
    1,699.73x = 2,506,701.88
  5. Step 5: Solve for x
    x = 2,506,701.88/1,699.73
  6. Step 6: Final answer
    x = 1,474.76

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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.