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Finding the Fourth Proportional to 2,755.68, 4,130.94 and 1,023

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Solution

The fourth proportional to 2,755.68, 4,130.94 and 1,023 is: 1,533.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.68 : 4,130.94 = 1,023 : x
  2. Step 2: Convert to fraction form
    2,755.68/4,130.94 = 1,023/x
  3. Step 3: Cross multiply
    2,755.68x = 4,130.94 × 1,023
  4. Step 4: Simplify right side
    2,755.68x = 4,225,951.62
  5. Step 5: Solve for x
    x = 4,225,951.62/2,755.68
  6. Step 6: Final answer
    x = 1,533.54

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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.