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Finding the Fourth Proportional to 1,385.64, 2,067.12 and 1,210.68

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Solution

The fourth proportional to 1,385.64, 2,067.12 and 1,210.68 is: 1,806.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.64 : 2,067.12 = 1,210.68 : x
  2. Step 2: Convert to fraction form
    1,385.64/2,067.12 = 1,210.68/x
  3. Step 3: Cross multiply
    1,385.64x = 2,067.12 × 1,210.68
  4. Step 4: Simplify right side
    1,385.64x = 2,502,620.84
  5. Step 5: Solve for x
    x = 2,502,620.84/1,385.64
  6. Step 6: Final answer
    x = 1,806.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.