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Finding the Fourth Proportional to 2,085.68, 2,874.93 and 1,642.88

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Solution

The fourth proportional to 2,085.68, 2,874.93 and 1,642.88 is: 2,264.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.68 : 2,874.93 = 1,642.88 : x
  2. Step 2: Convert to fraction form
    2,085.68/2,874.93 = 1,642.88/x
  3. Step 3: Cross multiply
    2,085.68x = 2,874.93 × 1,642.88
  4. Step 4: Simplify right side
    2,085.68x = 4,723,165.00
  5. Step 5: Solve for x
    x = 4,723,165.00/2,085.68
  6. Step 6: Final answer
    x = 2,264.57

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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.