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Finding the Fourth Proportional to 1,699.11, 2,345.76 and 1,204.47

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Solution

The fourth proportional to 1,699.11, 2,345.76 and 1,204.47 is: 1,662.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.11 : 2,345.76 = 1,204.47 : x
  2. Step 2: Convert to fraction form
    1,699.11/2,345.76 = 1,204.47/x
  3. Step 3: Cross multiply
    1,699.11x = 2,345.76 × 1,204.47
  4. Step 4: Simplify right side
    1,699.11x = 2,825,397.55
  5. Step 5: Solve for x
    x = 2,825,397.55/1,699.11
  6. Step 6: Final answer
    x = 1,662.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.