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Finding the Fourth Proportional to 3,114.59, 4,668.64 and 1,359.12

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Solution

The fourth proportional to 3,114.59, 4,668.64 and 1,359.12 is: 2,037.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.59 : 4,668.64 = 1,359.12 : x
  2. Step 2: Convert to fraction form
    3,114.59/4,668.64 = 1,359.12/x
  3. Step 3: Cross multiply
    3,114.59x = 4,668.64 × 1,359.12
  4. Step 4: Simplify right side
    3,114.59x = 6,345,242.00
  5. Step 5: Solve for x
    x = 6,345,242.00/3,114.59
  6. Step 6: Final answer
    x = 2,037.26

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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.