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Finding the Fourth Proportional to 2,525.97, 3,483.87 and 1,642.07

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Solution

The fourth proportional to 2,525.97, 3,483.87 and 1,642.07 is: 2,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.97 : 3,483.87 = 1,642.07 : x
  2. Step 2: Convert to fraction form
    2,525.97/3,483.87 = 1,642.07/x
  3. Step 3: Cross multiply
    2,525.97x = 3,483.87 × 1,642.07
  4. Step 4: Simplify right side
    2,525.97x = 5,720,740.99
  5. Step 5: Solve for x
    x = 5,720,740.99/2,525.97
  6. Step 6: Final answer
    x = 2,264.77

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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.