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Finding the Fourth Proportional to 2,762.92, 4,144.40 and 1,009.18

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Solution

The fourth proportional to 2,762.92, 4,144.40 and 1,009.18 is: 1,513.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.92 : 4,144.40 = 1,009.18 : x
  2. Step 2: Convert to fraction form
    2,762.92/4,144.40 = 1,009.18/x
  3. Step 3: Cross multiply
    2,762.92x = 4,144.40 × 1,009.18
  4. Step 4: Simplify right side
    2,762.92x = 4,182,419.82
  5. Step 5: Solve for x
    x = 4,182,419.82/2,762.92
  6. Step 6: Final answer
    x = 1,513.77

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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.