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Finding the Fourth Proportional to 2,308.46, 3,465.76 and 1,964.01

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Solution

The fourth proportional to 2,308.46, 3,465.76 and 1,964.01 is: 2,948.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.46 : 3,465.76 = 1,964.01 : x
  2. Step 2: Convert to fraction form
    2,308.46/3,465.76 = 1,964.01/x
  3. Step 3: Cross multiply
    2,308.46x = 3,465.76 × 1,964.01
  4. Step 4: Simplify right side
    2,308.46x = 6,806,776.76
  5. Step 5: Solve for x
    x = 6,806,776.76/2,308.46
  6. Step 6: Final answer
    x = 2,948.62

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Why These Related Problems?

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