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Finding the Fourth Proportional to 2,566.37, 3,849.95 and 923.31

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Solution

The fourth proportional to 2,566.37, 3,849.95 and 923.31 is: 1,385.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.37 : 3,849.95 = 923.31 : x
  2. Step 2: Convert to fraction form
    2,566.37/3,849.95 = 923.31/x
  3. Step 3: Cross multiply
    2,566.37x = 3,849.95 × 923.31
  4. Step 4: Simplify right side
    2,566.37x = 3,554,699.64
  5. Step 5: Solve for x
    x = 3,554,699.64/2,566.37
  6. Step 6: Final answer
    x = 1,385.11

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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.