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Finding the Fourth Proportional to 2,368, 3,266.76 and 1,622.80

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Solution

The fourth proportional to 2,368, 3,266.76 and 1,622.80 is: 2,238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368 : 3,266.76 = 1,622.80 : x
  2. Step 2: Convert to fraction form
    2,368/3,266.76 = 1,622.80/x
  3. Step 3: Cross multiply
    2,368x = 3,266.76 × 1,622.80
  4. Step 4: Simplify right side
    2,368x = 5,301,298.13
  5. Step 5: Solve for x
    x = 5,301,298.13/2,368
  6. Step 6: Final answer
    x = 2,238.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.