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Finding the Fourth Proportional to 2,377.35, 3,561.53 and 2,065.68

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Solution

The fourth proportional to 2,377.35, 3,561.53 and 2,065.68 is: 3,094.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.35 : 3,561.53 = 2,065.68 : x
  2. Step 2: Convert to fraction form
    2,377.35/3,561.53 = 2,065.68/x
  3. Step 3: Cross multiply
    2,377.35x = 3,561.53 × 2,065.68
  4. Step 4: Simplify right side
    2,377.35x = 7,356,970.96
  5. Step 5: Solve for x
    x = 7,356,970.96/2,377.35
  6. Step 6: Final answer
    x = 3,094.61

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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.