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Finding the Fourth Proportional to 1,577.36, 2,176.54 and 878.60

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Solution

The fourth proportional to 1,577.36, 2,176.54 and 878.60 is: 1,212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.36 : 2,176.54 = 878.60 : x
  2. Step 2: Convert to fraction form
    1,577.36/2,176.54 = 878.60/x
  3. Step 3: Cross multiply
    1,577.36x = 2,176.54 × 878.60
  4. Step 4: Simplify right side
    1,577.36x = 1,912,308.04
  5. Step 5: Solve for x
    x = 1,912,308.04/1,577.36
  6. Step 6: Final answer
    x = 1,212.35

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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.