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Finding the Fourth Proportional to 1,968.46, 2,718.22 and 1,470.24

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Solution

The fourth proportional to 1,968.46, 2,718.22 and 1,470.24 is: 2,030.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.46 : 2,718.22 = 1,470.24 : x
  2. Step 2: Convert to fraction form
    1,968.46/2,718.22 = 1,470.24/x
  3. Step 3: Cross multiply
    1,968.46x = 2,718.22 × 1,470.24
  4. Step 4: Simplify right side
    1,968.46x = 3,996,435.77
  5. Step 5: Solve for x
    x = 3,996,435.77/1,968.46
  6. Step 6: Final answer
    x = 2,030.23

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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.