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Finding the Fourth Proportional to 2,642.07, 3,646.10 and 1,522.82

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Solution

The fourth proportional to 2,642.07, 3,646.10 and 1,522.82 is: 2,101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.07 : 3,646.10 = 1,522.82 : x
  2. Step 2: Convert to fraction form
    2,642.07/3,646.10 = 1,522.82/x
  3. Step 3: Cross multiply
    2,642.07x = 3,646.10 × 1,522.82
  4. Step 4: Simplify right side
    2,642.07x = 5,552,348.69
  5. Step 5: Solve for x
    x = 5,552,348.69/2,642.07
  6. Step 6: Final answer
    x = 2,101.52

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