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Finding the Fourth Proportional to 2,039.76, 3,059.66 and 500.76

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Solution

The fourth proportional to 2,039.76, 3,059.66 and 500.76 is: 751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.76 : 3,059.66 = 500.76 : x
  2. Step 2: Convert to fraction form
    2,039.76/3,059.66 = 500.76/x
  3. Step 3: Cross multiply
    2,039.76x = 3,059.66 × 500.76
  4. Step 4: Simplify right side
    2,039.76x = 1,532,155.34
  5. Step 5: Solve for x
    x = 1,532,155.34/2,039.76
  6. Step 6: Final answer
    x = 751.14

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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.