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Finding the Fourth Proportional to 2,566.50, 3,849.93 and 1,027.50

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Solution

The fourth proportional to 2,566.50, 3,849.93 and 1,027.50 is: 1,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.50 : 3,849.93 = 1,027.50 : x
  2. Step 2: Convert to fraction form
    2,566.50/3,849.93 = 1,027.50/x
  3. Step 3: Cross multiply
    2,566.50x = 3,849.93 × 1,027.50
  4. Step 4: Simplify right side
    2,566.50x = 3,955,803.08
  5. Step 5: Solve for x
    x = 3,955,803.08/2,566.50
  6. Step 6: Final answer
    x = 1,541.32

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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.