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Finding the Fourth Proportional to 2,976.71, 4,107.90 and 1,650.47

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Solution

The fourth proportional to 2,976.71, 4,107.90 and 1,650.47 is: 2,277.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.71 : 4,107.90 = 1,650.47 : x
  2. Step 2: Convert to fraction form
    2,976.71/4,107.90 = 1,650.47/x
  3. Step 3: Cross multiply
    2,976.71x = 4,107.90 × 1,650.47
  4. Step 4: Simplify right side
    2,976.71x = 6,779,945.17
  5. Step 5: Solve for x
    x = 6,779,945.17/2,976.71
  6. Step 6: Final answer
    x = 2,277.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.