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Finding the Fourth Proportional to 2,105.19, 2,905.13 and 1,221.14

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Solution

The fourth proportional to 2,105.19, 2,905.13 and 1,221.14 is: 1,685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.19 : 2,905.13 = 1,221.14 : x
  2. Step 2: Convert to fraction form
    2,105.19/2,905.13 = 1,221.14/x
  3. Step 3: Cross multiply
    2,105.19x = 2,905.13 × 1,221.14
  4. Step 4: Simplify right side
    2,105.19x = 3,547,580.76
  5. Step 5: Solve for x
    x = 3,547,580.76/2,105.19
  6. Step 6: Final answer
    x = 1,685.16

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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.