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Finding the Fourth Proportional to 1,684,096, 2,527,388.16 and 797,632

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Solution

The fourth proportional to 1,684,096, 2,527,388.16 and 797,632 is: 1,197,037.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,096 : 2,527,388.16 = 797,632 : x
  2. Step 2: Convert to fraction form
    1,684,096/2,527,388.16 = 797,632/x
  3. Step 3: Cross multiply
    1,684,096x = 2,527,388.16 × 797,632
  4. Step 4: Simplify right side
    1,684,096x = 2,015,925,672,837.12
  5. Step 5: Solve for x
    x = 2,015,925,672,837.12/1,684,096
  6. Step 6: Final answer
    x = 1,197,037.27

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Why These Related Problems?

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