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Finding the Fourth Proportional to 3,117.92, 4,302.69 and 1,720.67

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Solution

The fourth proportional to 3,117.92, 4,302.69 and 1,720.67 is: 2,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.92 : 4,302.69 = 1,720.67 : x
  2. Step 2: Convert to fraction form
    3,117.92/4,302.69 = 1,720.67/x
  3. Step 3: Cross multiply
    3,117.92x = 4,302.69 × 1,720.67
  4. Step 4: Simplify right side
    3,117.92x = 7,403,488.09
  5. Step 5: Solve for x
    x = 7,403,488.09/3,117.92
  6. Step 6: Final answer
    x = 2,374.50

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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.