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Finding the Fourth Proportional to 1,608.10, 2,411.78 and 741.58

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Solution

The fourth proportional to 1,608.10, 2,411.78 and 741.58 is: 1,112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.10 : 2,411.78 = 741.58 : x
  2. Step 2: Convert to fraction form
    1,608.10/2,411.78 = 741.58/x
  3. Step 3: Cross multiply
    1,608.10x = 2,411.78 × 741.58
  4. Step 4: Simplify right side
    1,608.10x = 1,788,527.81
  5. Step 5: Solve for x
    x = 1,788,527.81/1,608.10
  6. Step 6: Final answer
    x = 1,112.20

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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.