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Finding the Fourth Proportional to 2,642.30, 3,646.04 and 1,522.98

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Solution

The fourth proportional to 2,642.30, 3,646.04 and 1,522.98 is: 2,101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.30 : 3,646.04 = 1,522.98 : x
  2. Step 2: Convert to fraction form
    2,642.30/3,646.04 = 1,522.98/x
  3. Step 3: Cross multiply
    2,642.30x = 3,646.04 × 1,522.98
  4. Step 4: Simplify right side
    2,642.30x = 5,552,846.00
  5. Step 5: Solve for x
    x = 5,552,846.00/2,642.30
  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.