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Finding the Fourth Proportional to 1,224.92, 1,837.01 and 947.09

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Solution

The fourth proportional to 1,224.92, 1,837.01 and 947.09 is: 1,420.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.92 : 1,837.01 = 947.09 : x
  2. Step 2: Convert to fraction form
    1,224.92/1,837.01 = 947.09/x
  3. Step 3: Cross multiply
    1,224.92x = 1,837.01 × 947.09
  4. Step 4: Simplify right side
    1,224.92x = 1,739,820.76
  5. Step 5: Solve for x
    x = 1,739,820.76/1,224.92
  6. Step 6: Final answer
    x = 1,420.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.