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Finding the Fourth Proportional to 2,740.74, 4,112.19 and 1,009.50

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Solution

The fourth proportional to 2,740.74, 4,112.19 and 1,009.50 is: 1,514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.74 : 4,112.19 = 1,009.50 : x
  2. Step 2: Convert to fraction form
    2,740.74/4,112.19 = 1,009.50/x
  3. Step 3: Cross multiply
    2,740.74x = 4,112.19 × 1,009.50
  4. Step 4: Simplify right side
    2,740.74x = 4,151,255.81
  5. Step 5: Solve for x
    x = 4,151,255.81/2,740.74
  6. Step 6: Final answer
    x = 1,514.65

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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.