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Finding the Fourth Proportional to 3,482.88, 4,805.64 and 2,223.14

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Solution

The fourth proportional to 3,482.88, 4,805.64 and 2,223.14 is: 3,067.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.88 : 4,805.64 = 2,223.14 : x
  2. Step 2: Convert to fraction form
    3,482.88/4,805.64 = 2,223.14/x
  3. Step 3: Cross multiply
    3,482.88x = 4,805.64 × 2,223.14
  4. Step 4: Simplify right side
    3,482.88x = 10,683,610.51
  5. Step 5: Solve for x
    x = 10,683,610.51/3,482.88
  6. Step 6: Final answer
    x = 3,067.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.