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Finding the Fourth Proportional to 3,070.80, 4,606.34 and 879.48

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Solution

The fourth proportional to 3,070.80, 4,606.34 and 879.48 is: 1,319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.80 : 4,606.34 = 879.48 : x
  2. Step 2: Convert to fraction form
    3,070.80/4,606.34 = 879.48/x
  3. Step 3: Cross multiply
    3,070.80x = 4,606.34 × 879.48
  4. Step 4: Simplify right side
    3,070.80x = 4,051,179.51
  5. Step 5: Solve for x
    x = 4,051,179.51/3,070.80
  6. Step 6: Final answer
    x = 1,319.26

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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.