Home / 1,611.02-2,416.26-456.50

Finding the Fourth Proportional to 1,611.02, 2,416.26 and 456.50

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Solution

The fourth proportional to 1,611.02, 2,416.26 and 456.50 is: 684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.02 : 2,416.26 = 456.50 : x
  2. Step 2: Convert to fraction form
    1,611.02/2,416.26 = 456.50/x
  3. Step 3: Cross multiply
    1,611.02x = 2,416.26 × 456.50
  4. Step 4: Simplify right side
    1,611.02x = 1,103,022.69
  5. Step 5: Solve for x
    x = 1,103,022.69/1,611.02
  6. Step 6: Final answer
    x = 684.67

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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.