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Finding the Fourth Proportional to 4,215.70, 6,318.86 and 1,580.68

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Solution

The fourth proportional to 4,215.70, 6,318.86 and 1,580.68 is: 2,369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.70 : 6,318.86 = 1,580.68 : x
  2. Step 2: Convert to fraction form
    4,215.70/6,318.86 = 1,580.68/x
  3. Step 3: Cross multiply
    4,215.70x = 6,318.86 × 1,580.68
  4. Step 4: Simplify right side
    4,215.70x = 9,988,095.62
  5. Step 5: Solve for x
    x = 9,988,095.62/4,215.70
  6. Step 6: Final answer
    x = 2,369.26

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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.