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Finding the Fourth Proportional to 2,038.57, 3,056.36 and 651.11

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Solution

The fourth proportional to 2,038.57, 3,056.36 and 651.11 is: 976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.57 : 3,056.36 = 651.11 : x
  2. Step 2: Convert to fraction form
    2,038.57/3,056.36 = 651.11/x
  3. Step 3: Cross multiply
    2,038.57x = 3,056.36 × 651.11
  4. Step 4: Simplify right side
    2,038.57x = 1,990,035.64
  5. Step 5: Solve for x
    x = 1,990,035.64/2,038.57
  6. Step 6: Final answer
    x = 976.19

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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.