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Finding the Fourth Proportional to 3,465.87, 4,782.81 and 1,973.67

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Solution

The fourth proportional to 3,465.87, 4,782.81 and 1,973.67 is: 2,723.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.87 : 4,782.81 = 1,973.67 : x
  2. Step 2: Convert to fraction form
    3,465.87/4,782.81 = 1,973.67/x
  3. Step 3: Cross multiply
    3,465.87x = 4,782.81 × 1,973.67
  4. Step 4: Simplify right side
    3,465.87x = 9,439,688.61
  5. Step 5: Solve for x
    x = 9,439,688.61/3,465.87
  6. Step 6: Final answer
    x = 2,723.61

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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.