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Finding the Fourth Proportional to 1,470.57, 2,028.42 and 1,021.70

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Solution

The fourth proportional to 1,470.57, 2,028.42 and 1,021.70 is: 1,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.57 : 2,028.42 = 1,021.70 : x
  2. Step 2: Convert to fraction form
    1,470.57/2,028.42 = 1,021.70/x
  3. Step 3: Cross multiply
    1,470.57x = 2,028.42 × 1,021.70
  4. Step 4: Simplify right side
    1,470.57x = 2,072,426.57
  5. Step 5: Solve for x
    x = 2,072,426.57/1,470.57
  6. Step 6: Final answer
    x = 1,409.27

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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.