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Finding the Fourth Proportional to 2,621.07, 3,930.76 and 865.67

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Solution

The fourth proportional to 2,621.07, 3,930.76 and 865.67 is: 1,298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.07 : 3,930.76 = 865.67 : x
  2. Step 2: Convert to fraction form
    2,621.07/3,930.76 = 865.67/x
  3. Step 3: Cross multiply
    2,621.07x = 3,930.76 × 865.67
  4. Step 4: Simplify right side
    2,621.07x = 3,402,719.19
  5. Step 5: Solve for x
    x = 3,402,719.19/2,621.07
  6. Step 6: Final answer
    x = 1,298.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.