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Finding the Fourth Proportional to 3,430.81, 5,153.14 and 2,046.86

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Solution

The fourth proportional to 3,430.81, 5,153.14 and 2,046.86 is: 3,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.81 : 5,153.14 = 2,046.86 : x
  2. Step 2: Convert to fraction form
    3,430.81/5,153.14 = 2,046.86/x
  3. Step 3: Cross multiply
    3,430.81x = 5,153.14 × 2,046.86
  4. Step 4: Simplify right side
    3,430.81x = 10,547,756.14
  5. Step 5: Solve for x
    x = 10,547,756.14/3,430.81
  6. Step 6: Final answer
    x = 3,074.42

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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.