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Finding the Fourth Proportional to 4,070.81, 6,106.55 and 1,149.14

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Solution

The fourth proportional to 4,070.81, 6,106.55 and 1,149.14 is: 1,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.81 : 6,106.55 = 1,149.14 : x
  2. Step 2: Convert to fraction form
    4,070.81/6,106.55 = 1,149.14/x
  3. Step 3: Cross multiply
    4,070.81x = 6,106.55 × 1,149.14
  4. Step 4: Simplify right side
    4,070.81x = 7,017,244.59
  5. Step 5: Solve for x
    x = 7,017,244.59/4,070.81
  6. Step 6: Final answer
    x = 1,723.80

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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.