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Finding the Fourth Proportional to 1,721.95, 2,583.06 and 489.47

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Solution

The fourth proportional to 1,721.95, 2,583.06 and 489.47 is: 734.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.95 : 2,583.06 = 489.47 : x
  2. Step 2: Convert to fraction form
    1,721.95/2,583.06 = 489.47/x
  3. Step 3: Cross multiply
    1,721.95x = 2,583.06 × 489.47
  4. Step 4: Simplify right side
    1,721.95x = 1,264,330.38
  5. Step 5: Solve for x
    x = 1,264,330.38/1,721.95
  6. Step 6: Final answer
    x = 734.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.