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Finding the Fourth Proportional to 3,085.86, 4,258.50 and 1,688.64

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Solution

The fourth proportional to 3,085.86, 4,258.50 and 1,688.64 is: 2,330.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.86 : 4,258.50 = 1,688.64 : x
  2. Step 2: Convert to fraction form
    3,085.86/4,258.50 = 1,688.64/x
  3. Step 3: Cross multiply
    3,085.86x = 4,258.50 × 1,688.64
  4. Step 4: Simplify right side
    3,085.86x = 7,191,073.44
  5. Step 5: Solve for x
    x = 7,191,073.44/3,085.86
  6. Step 6: Final answer
    x = 2,330.33

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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.