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Finding the Fourth Proportional to 1,792.06, 2,472.78 and 1,005.95

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Solution

The fourth proportional to 1,792.06, 2,472.78 and 1,005.95 is: 1,388.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.06 : 2,472.78 = 1,005.95 : x
  2. Step 2: Convert to fraction form
    1,792.06/2,472.78 = 1,005.95/x
  3. Step 3: Cross multiply
    1,792.06x = 2,472.78 × 1,005.95
  4. Step 4: Simplify right side
    1,792.06x = 2,487,497.34
  5. Step 5: Solve for x
    x = 2,487,497.34/1,792.06
  6. Step 6: Final answer
    x = 1,388.07

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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.