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Finding the Fourth Proportional to 2,566.80, 3,851.16 and 923.28

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Solution

The fourth proportional to 2,566.80, 3,851.16 and 923.28 is: 1,385.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.80 : 3,851.16 = 923.28 : x
  2. Step 2: Convert to fraction form
    2,566.80/3,851.16 = 923.28/x
  3. Step 3: Cross multiply
    2,566.80x = 3,851.16 × 923.28
  4. Step 4: Simplify right side
    2,566.80x = 3,555,699.00
  5. Step 5: Solve for x
    x = 3,555,699.00/2,566.80
  6. Step 6: Final answer
    x = 1,385.27

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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.