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Finding the Fourth Proportional to 2,264.76, 3,389.04 and 1,774.44

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Solution

The fourth proportional to 2,264.76, 3,389.04 and 1,774.44 is: 2,655.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.76 : 3,389.04 = 1,774.44 : x
  2. Step 2: Convert to fraction form
    2,264.76/3,389.04 = 1,774.44/x
  3. Step 3: Cross multiply
    2,264.76x = 3,389.04 × 1,774.44
  4. Step 4: Simplify right side
    2,264.76x = 6,013,648.14
  5. Step 5: Solve for x
    x = 6,013,648.14/2,264.76
  6. Step 6: Final answer
    x = 2,655.31

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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.