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Finding the Fourth Proportional to 1,577,100, 2,176,398 and 861,708

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Solution

The fourth proportional to 1,577,100, 2,176,398 and 861,708 is: 1,189,157.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,100 : 2,176,398 = 861,708 : x
  2. Step 2: Convert to fraction form
    1,577,100/2,176,398 = 861,708/x
  3. Step 3: Cross multiply
    1,577,100x = 2,176,398 × 861,708
  4. Step 4: Simplify right side
    1,577,100x = 1,875,419,567,784
  5. Step 5: Solve for x
    x = 1,875,419,567,784/1,577,100
  6. Step 6: Final answer
    x = 1,189,157.04

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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.