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Finding the Fourth Proportional to 3,671.87, 5,502.44 and 1,698.10

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Solution

The fourth proportional to 3,671.87, 5,502.44 and 1,698.10 is: 2,544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.87 : 5,502.44 = 1,698.10 : x
  2. Step 2: Convert to fraction form
    3,671.87/5,502.44 = 1,698.10/x
  3. Step 3: Cross multiply
    3,671.87x = 5,502.44 × 1,698.10
  4. Step 4: Simplify right side
    3,671.87x = 9,343,683.85
  5. Step 5: Solve for x
    x = 9,343,683.85/3,671.87
  6. Step 6: Final answer
    x = 2,544.67

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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.