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Finding the Fourth Proportional to 2,103.77, 3,155.66 and 717.12

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Solution

The fourth proportional to 2,103.77, 3,155.66 and 717.12 is: 1,075.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.77 : 3,155.66 = 717.12 : x
  2. Step 2: Convert to fraction form
    2,103.77/3,155.66 = 717.12/x
  3. Step 3: Cross multiply
    2,103.77x = 3,155.66 × 717.12
  4. Step 4: Simplify right side
    2,103.77x = 2,262,983.31
  5. Step 5: Solve for x
    x = 2,262,983.31/2,103.77
  6. Step 6: Final answer
    x = 1,075.68

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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.