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Finding the Fourth Proportional to 3,085.92, 4,258.62 and 1,688.67

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Solution

The fourth proportional to 3,085.92, 4,258.62 and 1,688.67 is: 2,330.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.92 : 4,258.62 = 1,688.67 : x
  2. Step 2: Convert to fraction form
    3,085.92/4,258.62 = 1,688.67/x
  3. Step 3: Cross multiply
    3,085.92x = 4,258.62 × 1,688.67
  4. Step 4: Simplify right side
    3,085.92x = 7,191,403.84
  5. Step 5: Solve for x
    x = 7,191,403.84/3,085.92
  6. Step 6: Final answer
    x = 2,330.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.