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Finding the Fourth Proportional to 2,580.97, 3,561.74 and 1,402.06

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Solution

The fourth proportional to 2,580.97, 3,561.74 and 1,402.06 is: 1,934.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.97 : 3,561.74 = 1,402.06 : x
  2. Step 2: Convert to fraction form
    2,580.97/3,561.74 = 1,402.06/x
  3. Step 3: Cross multiply
    2,580.97x = 3,561.74 × 1,402.06
  4. Step 4: Simplify right side
    2,580.97x = 4,993,773.18
  5. Step 5: Solve for x
    x = 4,993,773.18/2,580.97
  6. Step 6: Final answer
    x = 1,934.84

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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.