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Finding the Fourth Proportional to 1,501.67, 2,070.97 and 942.20

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Solution

The fourth proportional to 1,501.67, 2,070.97 and 942.20 is: 1,299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.67 : 2,070.97 = 942.20 : x
  2. Step 2: Convert to fraction form
    1,501.67/2,070.97 = 942.20/x
  3. Step 3: Cross multiply
    1,501.67x = 2,070.97 × 942.20
  4. Step 4: Simplify right side
    1,501.67x = 1,951,270.76
  5. Step 5: Solve for x
    x = 1,951,270.76/1,501.67
  6. Step 6: Final answer
    x = 1,299.40

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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.