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Finding the Fourth Proportional to 2,077.35, 3,117.10 and 845.67

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Solution

The fourth proportional to 2,077.35, 3,117.10 and 845.67 is: 1,268.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.35 : 3,117.10 = 845.67 : x
  2. Step 2: Convert to fraction form
    2,077.35/3,117.10 = 845.67/x
  3. Step 3: Cross multiply
    2,077.35x = 3,117.10 × 845.67
  4. Step 4: Simplify right side
    2,077.35x = 2,636,037.96
  5. Step 5: Solve for x
    x = 2,636,037.96/2,077.35
  6. Step 6: Final answer
    x = 1,268.94

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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.