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Finding the Fourth Proportional to 2,024.69, 3,037.30 and 708.30

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Solution

The fourth proportional to 2,024.69, 3,037.30 and 708.30 is: 1,062.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.69 : 3,037.30 = 708.30 : x
  2. Step 2: Convert to fraction form
    2,024.69/3,037.30 = 708.30/x
  3. Step 3: Cross multiply
    2,024.69x = 3,037.30 × 708.30
  4. Step 4: Simplify right side
    2,024.69x = 2,151,319.59
  5. Step 5: Solve for x
    x = 2,151,319.59/2,024.69
  6. Step 6: Final answer
    x = 1,062.54

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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.