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Finding the Fourth Proportional to 2,740.78, 4,111.26 and 1,009

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Solution

The fourth proportional to 2,740.78, 4,111.26 and 1,009 is: 1,513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.78 : 4,111.26 = 1,009 : x
  2. Step 2: Convert to fraction form
    2,740.78/4,111.26 = 1,009/x
  3. Step 3: Cross multiply
    2,740.78x = 4,111.26 × 1,009
  4. Step 4: Simplify right side
    2,740.78x = 4,148,261.34
  5. Step 5: Solve for x
    x = 4,148,261.34/2,740.78
  6. Step 6: Final answer
    x = 1,513.53

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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.