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Finding the Fourth Proportional to 2,642.02, 3,646 and 1,522.96

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Solution

The fourth proportional to 2,642.02, 3,646 and 1,522.96 is: 2,101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.02 : 3,646 = 1,522.96 : x
  2. Step 2: Convert to fraction form
    2,642.02/3,646 = 1,522.96/x
  3. Step 3: Cross multiply
    2,642.02x = 3,646 × 1,522.96
  4. Step 4: Simplify right side
    2,642.02x = 5,552,712.16
  5. Step 5: Solve for x
    x = 5,552,712.16/2,642.02
  6. Step 6: Final answer
    x = 2,101.69

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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.