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Finding the Fourth Proportional to 1,970.33, 2,717.75 and 1,497.17

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Solution

The fourth proportional to 1,970.33, 2,717.75 and 1,497.17 is: 2,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.33 : 2,717.75 = 1,497.17 : x
  2. Step 2: Convert to fraction form
    1,970.33/2,717.75 = 1,497.17/x
  3. Step 3: Cross multiply
    1,970.33x = 2,717.75 × 1,497.17
  4. Step 4: Simplify right side
    1,970.33x = 4,068,912.69
  5. Step 5: Solve for x
    x = 4,068,912.69/1,970.33
  6. Step 6: Final answer
    x = 2,065.10

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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.