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Finding the Fourth Proportional to 2,354.84, 3,246.42 and 1,690.52

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Solution

The fourth proportional to 2,354.84, 3,246.42 and 1,690.52 is: 2,330.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.84 : 3,246.42 = 1,690.52 : x
  2. Step 2: Convert to fraction form
    2,354.84/3,246.42 = 1,690.52/x
  3. Step 3: Cross multiply
    2,354.84x = 3,246.42 × 1,690.52
  4. Step 4: Simplify right side
    2,354.84x = 5,488,137.94
  5. Step 5: Solve for x
    x = 5,488,137.94/2,354.84
  6. Step 6: Final answer
    x = 2,330.58

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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.