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Finding the Fourth Proportional to 2,109.54, 2,910.53 and 1,225.02

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Solution

The fourth proportional to 2,109.54, 2,910.53 and 1,225.02 is: 1,690.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.54 : 2,910.53 = 1,225.02 : x
  2. Step 2: Convert to fraction form
    2,109.54/2,910.53 = 1,225.02/x
  3. Step 3: Cross multiply
    2,109.54x = 2,910.53 × 1,225.02
  4. Step 4: Simplify right side
    2,109.54x = 3,565,471.44
  5. Step 5: Solve for x
    x = 3,565,471.44/2,109.54
  6. Step 6: Final answer
    x = 1,690.16

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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.