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Finding the Fourth Proportional to 3,085.68, 4,257.84 and 1,688.40

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Solution

The fourth proportional to 3,085.68, 4,257.84 and 1,688.40 is: 2,329.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.68 : 4,257.84 = 1,688.40 : x
  2. Step 2: Convert to fraction form
    3,085.68/4,257.84 = 1,688.40/x
  3. Step 3: Cross multiply
    3,085.68x = 4,257.84 × 1,688.40
  4. Step 4: Simplify right side
    3,085.68x = 7,188,937.06
  5. Step 5: Solve for x
    x = 7,188,937.06/3,085.68
  6. Step 6: Final answer
    x = 2,329.77

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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.