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Finding the Fourth Proportional to 2,052.63, 3,078.99 and 591.93

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Solution

The fourth proportional to 2,052.63, 3,078.99 and 591.93 is: 887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.63 : 3,078.99 = 591.93 : x
  2. Step 2: Convert to fraction form
    2,052.63/3,078.99 = 591.93/x
  3. Step 3: Cross multiply
    2,052.63x = 3,078.99 × 591.93
  4. Step 4: Simplify right side
    2,052.63x = 1,822,546.55
  5. Step 5: Solve for x
    x = 1,822,546.55/2,052.63
  6. Step 6: Final answer
    x = 887.91

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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.