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Finding the Fourth Proportional to 1,600.51, 2,400.14 and 489.58

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Solution

The fourth proportional to 1,600.51, 2,400.14 and 489.58 is: 734.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.51 : 2,400.14 = 489.58 : x
  2. Step 2: Convert to fraction form
    1,600.51/2,400.14 = 489.58/x
  3. Step 3: Cross multiply
    1,600.51x = 2,400.14 × 489.58
  4. Step 4: Simplify right side
    1,600.51x = 1,175,060.54
  5. Step 5: Solve for x
    x = 1,175,060.54/1,600.51
  6. Step 6: Final answer
    x = 734.18

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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.