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Finding the Fourth Proportional to 2,024.35, 3,036.64 and 637.73

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Solution

The fourth proportional to 2,024.35, 3,036.64 and 637.73 is: 956.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.35 : 3,036.64 = 637.73 : x
  2. Step 2: Convert to fraction form
    2,024.35/3,036.64 = 637.73/x
  3. Step 3: Cross multiply
    2,024.35x = 3,036.64 × 637.73
  4. Step 4: Simplify right side
    2,024.35x = 1,936,541.24
  5. Step 5: Solve for x
    x = 1,936,541.24/2,024.35
  6. Step 6: Final answer
    x = 956.63

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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.