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Finding the Fourth Proportional to 2,466.08, 3,700.24 and 1,340.71

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Solution

The fourth proportional to 2,466.08, 3,700.24 and 1,340.71 is: 2,011.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.08 : 3,700.24 = 1,340.71 : x
  2. Step 2: Convert to fraction form
    2,466.08/3,700.24 = 1,340.71/x
  3. Step 3: Cross multiply
    2,466.08x = 3,700.24 × 1,340.71
  4. Step 4: Simplify right side
    2,466.08x = 4,960,948.77
  5. Step 5: Solve for x
    x = 4,960,948.77/2,466.08
  6. Step 6: Final answer
    x = 2,011.67

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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.