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Finding the Fourth Proportional to 3,099.99, 4,649.47 and 1,020.02

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Solution

The fourth proportional to 3,099.99, 4,649.47 and 1,020.02 is: 1,529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.99 : 4,649.47 = 1,020.02 : x
  2. Step 2: Convert to fraction form
    3,099.99/4,649.47 = 1,020.02/x
  3. Step 3: Cross multiply
    3,099.99x = 4,649.47 × 1,020.02
  4. Step 4: Simplify right side
    3,099.99x = 4,742,524.04
  5. Step 5: Solve for x
    x = 4,742,524.04/3,099.99
  6. Step 6: Final answer
    x = 1,529.85

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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.