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Finding the Fourth Proportional to 2,017.60, 3,009.15 and 1,772.42

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Solution

The fourth proportional to 2,017.60, 3,009.15 and 1,772.42 is: 2,643.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.60 : 3,009.15 = 1,772.42 : x
  2. Step 2: Convert to fraction form
    2,017.60/3,009.15 = 1,772.42/x
  3. Step 3: Cross multiply
    2,017.60x = 3,009.15 × 1,772.42
  4. Step 4: Simplify right side
    2,017.60x = 5,333,468.78
  5. Step 5: Solve for x
    x = 5,333,468.78/2,017.60
  6. Step 6: Final answer
    x = 2,643.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.