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Finding the Fourth Proportional to 2,118.06, 2,922.50 and 1,454.68

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Solution

The fourth proportional to 2,118.06, 2,922.50 and 1,454.68 is: 2,007.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.06 : 2,922.50 = 1,454.68 : x
  2. Step 2: Convert to fraction form
    2,118.06/2,922.50 = 1,454.68/x
  3. Step 3: Cross multiply
    2,118.06x = 2,922.50 × 1,454.68
  4. Step 4: Simplify right side
    2,118.06x = 4,251,302.30
  5. Step 5: Solve for x
    x = 4,251,302.30/2,118.06
  6. Step 6: Final answer
    x = 2,007.17

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