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Finding the Fourth Proportional to 2,577.51, 3,866.28 and 728.62

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Solution

The fourth proportional to 2,577.51, 3,866.28 and 728.62 is: 1,092.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.51 : 3,866.28 = 728.62 : x
  2. Step 2: Convert to fraction form
    2,577.51/3,866.28 = 728.62/x
  3. Step 3: Cross multiply
    2,577.51x = 3,866.28 × 728.62
  4. Step 4: Simplify right side
    2,577.51x = 2,817,048.93
  5. Step 5: Solve for x
    x = 2,817,048.93/2,577.51
  6. Step 6: Final answer
    x = 1,092.93

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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.