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Finding the Fourth Proportional to 2,330.82, 3,214.62 and 1,700.64

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Solution

The fourth proportional to 2,330.82, 3,214.62 and 1,700.64 is: 2,345.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.82 : 3,214.62 = 1,700.64 : x
  2. Step 2: Convert to fraction form
    2,330.82/3,214.62 = 1,700.64/x
  3. Step 3: Cross multiply
    2,330.82x = 3,214.62 × 1,700.64
  4. Step 4: Simplify right side
    2,330.82x = 5,466,911.36
  5. Step 5: Solve for x
    x = 5,466,911.36/2,330.82
  6. Step 6: Final answer
    x = 2,345.49

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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.