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Finding the Fourth Proportional to 2,009.53, 3,014.42 and 548.65

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Solution

The fourth proportional to 2,009.53, 3,014.42 and 548.65 is: 823.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.53 : 3,014.42 = 548.65 : x
  2. Step 2: Convert to fraction form
    2,009.53/3,014.42 = 548.65/x
  3. Step 3: Cross multiply
    2,009.53x = 3,014.42 × 548.65
  4. Step 4: Simplify right side
    2,009.53x = 1,653,854.08
  5. Step 5: Solve for x
    x = 1,653,854.08/2,009.53
  6. Step 6: Final answer
    x = 823.00

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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.