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Finding the Fourth Proportional to 1,700.82, 2,345.85 and 1,465.17

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Solution

The fourth proportional to 1,700.82, 2,345.85 and 1,465.17 is: 2,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.82 : 2,345.85 = 1,465.17 : x
  2. Step 2: Convert to fraction form
    1,700.82/2,345.85 = 1,465.17/x
  3. Step 3: Cross multiply
    1,700.82x = 2,345.85 × 1,465.17
  4. Step 4: Simplify right side
    1,700.82x = 3,437,069.04
  5. Step 5: Solve for x
    x = 3,437,069.04/1,700.82
  6. Step 6: Final answer
    x = 2,020.83

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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.