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Finding the Fourth Proportional to 1,470.67, 2,202.05 and 1,009.36

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Solution

The fourth proportional to 1,470.67, 2,202.05 and 1,009.36 is: 1,511.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.67 : 2,202.05 = 1,009.36 : x
  2. Step 2: Convert to fraction form
    1,470.67/2,202.05 = 1,009.36/x
  3. Step 3: Cross multiply
    1,470.67x = 2,202.05 × 1,009.36
  4. Step 4: Simplify right side
    1,470.67x = 2,222,666.46
  5. Step 5: Solve for x
    x = 2,222,666.46/1,470.67
  6. Step 6: Final answer
    x = 1,511.33

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