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Finding the Fourth Proportional to 1,470.65, 2,028.29 and 1,072.31

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Solution

The fourth proportional to 1,470.65, 2,028.29 and 1,072.31 is: 1,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.65 : 2,028.29 = 1,072.31 : x
  2. Step 2: Convert to fraction form
    1,470.65/2,028.29 = 1,072.31/x
  3. Step 3: Cross multiply
    1,470.65x = 2,028.29 × 1,072.31
  4. Step 4: Simplify right side
    1,470.65x = 2,174,950.29
  5. Step 5: Solve for x
    x = 2,174,950.29/1,470.65
  6. Step 6: Final answer
    x = 1,478.90

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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.