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Finding the Fourth Proportional to 1,690.82, 2,334.30 and 1,160.47

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Solution

The fourth proportional to 1,690.82, 2,334.30 and 1,160.47 is: 1,602.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.82 : 2,334.30 = 1,160.47 : x
  2. Step 2: Convert to fraction form
    1,690.82/2,334.30 = 1,160.47/x
  3. Step 3: Cross multiply
    1,690.82x = 2,334.30 × 1,160.47
  4. Step 4: Simplify right side
    1,690.82x = 2,708,890.21
  5. Step 5: Solve for x
    x = 2,708,890.21/1,690.82
  6. Step 6: Final answer
    x = 1,602.12

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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.