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Finding the Fourth Proportional to 2,098.92, 2,892.24 and 1,623.93

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Solution

The fourth proportional to 2,098.92, 2,892.24 and 1,623.93 is: 2,237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.92 : 2,892.24 = 1,623.93 : x
  2. Step 2: Convert to fraction form
    2,098.92/2,892.24 = 1,623.93/x
  3. Step 3: Cross multiply
    2,098.92x = 2,892.24 × 1,623.93
  4. Step 4: Simplify right side
    2,098.92x = 4,696,787.18
  5. Step 5: Solve for x
    x = 4,696,787.18/2,098.92
  6. Step 6: Final answer
    x = 2,237.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.