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Finding the Fourth Proportional to 2,024.64, 3,032.64 and 1,877.76

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Solution

The fourth proportional to 2,024.64, 3,032.64 and 1,877.76 is: 2,812.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.64 : 3,032.64 = 1,877.76 : x
  2. Step 2: Convert to fraction form
    2,024.64/3,032.64 = 1,877.76/x
  3. Step 3: Cross multiply
    2,024.64x = 3,032.64 × 1,877.76
  4. Step 4: Simplify right side
    2,024.64x = 5,694,570.09
  5. Step 5: Solve for x
    x = 5,694,570.09/2,024.64
  6. Step 6: Final answer
    x = 2,812.63

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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.