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Finding the Fourth Proportional to 3,041.50, 4,564.14 and 1,310.14

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Solution

The fourth proportional to 3,041.50, 4,564.14 and 1,310.14 is: 1,966.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.50 : 4,564.14 = 1,310.14 : x
  2. Step 2: Convert to fraction form
    3,041.50/4,564.14 = 1,310.14/x
  3. Step 3: Cross multiply
    3,041.50x = 4,564.14 × 1,310.14
  4. Step 4: Simplify right side
    3,041.50x = 5,979,662.38
  5. Step 5: Solve for x
    x = 5,979,662.38/3,041.50
  6. Step 6: Final answer
    x = 1,966.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.