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Finding the Fourth Proportional to 1,916.42, 2,874.63 and 762.16

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Solution

The fourth proportional to 1,916.42, 2,874.63 and 762.16 is: 1,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.42 : 2,874.63 = 762.16 : x
  2. Step 2: Convert to fraction form
    1,916.42/2,874.63 = 762.16/x
  3. Step 3: Cross multiply
    1,916.42x = 2,874.63 × 762.16
  4. Step 4: Simplify right side
    1,916.42x = 2,190,928.00
  5. Step 5: Solve for x
    x = 2,190,928.00/1,916.42
  6. Step 6: Final answer
    x = 1,143.24

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Why These Related Problems?

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