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Finding the Fourth Proportional to 2,077.64, 3,115.80 and 596.76

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Solution

The fourth proportional to 2,077.64, 3,115.80 and 596.76 is: 894.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.64 : 3,115.80 = 596.76 : x
  2. Step 2: Convert to fraction form
    2,077.64/3,115.80 = 596.76/x
  3. Step 3: Cross multiply
    2,077.64x = 3,115.80 × 596.76
  4. Step 4: Simplify right side
    2,077.64x = 1,859,384.81
  5. Step 5: Solve for x
    x = 1,859,384.81/2,077.64
  6. Step 6: Final answer
    x = 894.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.