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Finding the Fourth Proportional to 2,009.77, 3,014.65 and 548.93

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Solution

The fourth proportional to 2,009.77, 3,014.65 and 548.93 is: 823.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.77 : 3,014.65 = 548.93 : x
  2. Step 2: Convert to fraction form
    2,009.77/3,014.65 = 548.93/x
  3. Step 3: Cross multiply
    2,009.77x = 3,014.65 × 548.93
  4. Step 4: Simplify right side
    2,009.77x = 1,654,831.82
  5. Step 5: Solve for x
    x = 1,654,831.82/2,009.77
  6. Step 6: Final answer
    x = 823.39

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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.