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Finding the Fourth Proportional to 2,076.19, 3,113.65 and 595.30

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Solution

The fourth proportional to 2,076.19, 3,113.65 and 595.30 is: 892.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.19 : 3,113.65 = 595.30 : x
  2. Step 2: Convert to fraction form
    2,076.19/3,113.65 = 595.30/x
  3. Step 3: Cross multiply
    2,076.19x = 3,113.65 × 595.30
  4. Step 4: Simplify right side
    2,076.19x = 1,853,555.85
  5. Step 5: Solve for x
    x = 1,853,555.85/2,076.19
  6. Step 6: Final answer
    x = 892.77

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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.