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Finding the Fourth Proportional to 2,368, 3,267.95 and 1,320.06

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Solution

The fourth proportional to 2,368, 3,267.95 and 1,320.06 is: 1,821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368 : 3,267.95 = 1,320.06 : x
  2. Step 2: Convert to fraction form
    2,368/3,267.95 = 1,320.06/x
  3. Step 3: Cross multiply
    2,368x = 3,267.95 × 1,320.06
  4. Step 4: Simplify right side
    2,368x = 4,313,890.08
  5. Step 5: Solve for x
    x = 4,313,890.08/2,368
  6. Step 6: Final answer
    x = 1,821.74

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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.