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Finding the Fourth Proportional to 2,104.98, 2,905.56 and 1,221

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Solution

The fourth proportional to 2,104.98, 2,905.56 and 1,221 is: 1,685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.98 : 2,905.56 = 1,221 : x
  2. Step 2: Convert to fraction form
    2,104.98/2,905.56 = 1,221/x
  3. Step 3: Cross multiply
    2,104.98x = 2,905.56 × 1,221
  4. Step 4: Simplify right side
    2,104.98x = 3,547,688.76
  5. Step 5: Solve for x
    x = 3,547,688.76/2,104.98
  6. Step 6: Final answer
    x = 1,685.38

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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.