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Finding the Fourth Proportional to 2,473.14, 3,710.02 and 1,156.22

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Solution

The fourth proportional to 2,473.14, 3,710.02 and 1,156.22 is: 1,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.14 : 3,710.02 = 1,156.22 : x
  2. Step 2: Convert to fraction form
    2,473.14/3,710.02 = 1,156.22/x
  3. Step 3: Cross multiply
    2,473.14x = 3,710.02 × 1,156.22
  4. Step 4: Simplify right side
    2,473.14x = 4,289,599.32
  5. Step 5: Solve for x
    x = 4,289,599.32/2,473.14
  6. Step 6: Final answer
    x = 1,734.47

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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.