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Finding the Fourth Proportional to 2,319.84, 3,497.11 and 2,122.82

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Solution

The fourth proportional to 2,319.84, 3,497.11 and 2,122.82 is: 3,200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.84 : 3,497.11 = 2,122.82 : x
  2. Step 2: Convert to fraction form
    2,319.84/3,497.11 = 2,122.82/x
  3. Step 3: Cross multiply
    2,319.84x = 3,497.11 × 2,122.82
  4. Step 4: Simplify right side
    2,319.84x = 7,423,712.26
  5. Step 5: Solve for x
    x = 7,423,712.26/2,319.84
  6. Step 6: Final answer
    x = 3,200.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.