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Finding the Fourth Proportional to 2,808, 4,206.47 and 1,417.23

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Solution

The fourth proportional to 2,808, 4,206.47 and 1,417.23 is: 2,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808 : 4,206.47 = 1,417.23 : x
  2. Step 2: Convert to fraction form
    2,808/4,206.47 = 1,417.23/x
  3. Step 3: Cross multiply
    2,808x = 4,206.47 × 1,417.23
  4. Step 4: Simplify right side
    2,808x = 5,961,528.39
  5. Step 5: Solve for x
    x = 5,961,528.39/2,808
  6. Step 6: Final answer
    x = 2,123.05

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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.