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Finding the Fourth Proportional to 2,646.06, 3,651.94 and 1,526.78

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Solution

The fourth proportional to 2,646.06, 3,651.94 and 1,526.78 is: 2,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.06 : 3,651.94 = 1,526.78 : x
  2. Step 2: Convert to fraction form
    2,646.06/3,651.94 = 1,526.78/x
  3. Step 3: Cross multiply
    2,646.06x = 3,651.94 × 1,526.78
  4. Step 4: Simplify right side
    2,646.06x = 5,575,708.95
  5. Step 5: Solve for x
    x = 5,575,708.95/2,646.06
  6. Step 6: Final answer
    x = 2,107.17

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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.