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Finding the Fourth Proportional to 2,024.40, 3,035.82 and 637.44

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Solution

The fourth proportional to 2,024.40, 3,035.82 and 637.44 is: 955.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.40 : 3,035.82 = 637.44 : x
  2. Step 2: Convert to fraction form
    2,024.40/3,035.82 = 637.44/x
  3. Step 3: Cross multiply
    2,024.40x = 3,035.82 × 637.44
  4. Step 4: Simplify right side
    2,024.40x = 1,935,153.10
  5. Step 5: Solve for x
    x = 1,935,153.10/2,024.40
  6. Step 6: Final answer
    x = 955.91

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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.