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Finding the Fourth Proportional to 2,710.63, 4,059.32 and 2,447.68

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Solution

The fourth proportional to 2,710.63, 4,059.32 and 2,447.68 is: 3,665.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.63 : 4,059.32 = 2,447.68 : x
  2. Step 2: Convert to fraction form
    2,710.63/4,059.32 = 2,447.68/x
  3. Step 3: Cross multiply
    2,710.63x = 4,059.32 × 2,447.68
  4. Step 4: Simplify right side
    2,710.63x = 9,935,907.31
  5. Step 5: Solve for x
    x = 9,935,907.31/2,710.63
  6. Step 6: Final answer
    x = 3,665.53

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1.5x scale

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.