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Finding the Fourth Proportional to 1,470.15, 2,028.06 and 997.47

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Solution

The fourth proportional to 1,470.15, 2,028.06 and 997.47 is: 1,376.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.15 : 2,028.06 = 997.47 : x
  2. Step 2: Convert to fraction form
    1,470.15/2,028.06 = 997.47/x
  3. Step 3: Cross multiply
    1,470.15x = 2,028.06 × 997.47
  4. Step 4: Simplify right side
    1,470.15x = 2,022,929.01
  5. Step 5: Solve for x
    x = 2,022,929.01/1,470.15
  6. Step 6: Final answer
    x = 1,376.00

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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.