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Finding the Fourth Proportional to 2,953.77, 4,073.49 and 1,834.31

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Solution

The fourth proportional to 2,953.77, 4,073.49 and 1,834.31 is: 2,529.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.77 : 4,073.49 = 1,834.31 : x
  2. Step 2: Convert to fraction form
    2,953.77/4,073.49 = 1,834.31/x
  3. Step 3: Cross multiply
    2,953.77x = 4,073.49 × 1,834.31
  4. Step 4: Simplify right side
    2,953.77x = 7,472,053.63
  5. Step 5: Solve for x
    x = 7,472,053.63/2,953.77
  6. Step 6: Final answer
    x = 2,529.67

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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.