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Finding the Fourth Proportional to 2,052.61, 3,079.15 and 591.77

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Solution

The fourth proportional to 2,052.61, 3,079.15 and 591.77 is: 887.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.61 : 3,079.15 = 591.77 : x
  2. Step 2: Convert to fraction form
    2,052.61/3,079.15 = 591.77/x
  3. Step 3: Cross multiply
    2,052.61x = 3,079.15 × 591.77
  4. Step 4: Simplify right side
    2,052.61x = 1,822,154.81
  5. Step 5: Solve for x
    x = 1,822,154.81/2,052.61
  6. Step 6: Final answer
    x = 887.73

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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.