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Finding the Fourth Proportional to 1,700.39, 2,347.44 and 1,143.79

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Solution

The fourth proportional to 1,700.39, 2,347.44 and 1,143.79 is: 1,579.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.39 : 2,347.44 = 1,143.79 : x
  2. Step 2: Convert to fraction form
    1,700.39/2,347.44 = 1,143.79/x
  3. Step 3: Cross multiply
    1,700.39x = 2,347.44 × 1,143.79
  4. Step 4: Simplify right side
    1,700.39x = 2,684,974.00
  5. Step 5: Solve for x
    x = 2,684,974.00/1,700.39
  6. Step 6: Final answer
    x = 1,579.03

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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.