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Finding the Fourth Proportional to 2,292.84, 3,436.70 and 2,108.32

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Solution

The fourth proportional to 2,292.84, 3,436.70 and 2,108.32 is: 3,160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.84 : 3,436.70 = 2,108.32 : x
  2. Step 2: Convert to fraction form
    2,292.84/3,436.70 = 2,108.32/x
  3. Step 3: Cross multiply
    2,292.84x = 3,436.70 × 2,108.32
  4. Step 4: Simplify right side
    2,292.84x = 7,245,663.34
  5. Step 5: Solve for x
    x = 7,245,663.34/2,292.84
  6. Step 6: Final answer
    x = 3,160.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.