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Finding the Fourth Proportional to 2,261.52, 3,395.52 and 2,222.64

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Solution

The fourth proportional to 2,261.52, 3,395.52 and 2,222.64 is: 3,337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.52 : 3,395.52 = 2,222.64 : x
  2. Step 2: Convert to fraction form
    2,261.52/3,395.52 = 2,222.64/x
  3. Step 3: Cross multiply
    2,261.52x = 3,395.52 × 2,222.64
  4. Step 4: Simplify right side
    2,261.52x = 7,547,018.57
  5. Step 5: Solve for x
    x = 7,547,018.57/2,261.52
  6. Step 6: Final answer
    x = 3,337.14

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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.