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Finding the Fourth Proportional to 2,024.32, 3,035.40 and 637.28

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Solution

The fourth proportional to 2,024.32, 3,035.40 and 637.28 is: 955.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.32 : 3,035.40 = 637.28 : x
  2. Step 2: Convert to fraction form
    2,024.32/3,035.40 = 637.28/x
  3. Step 3: Cross multiply
    2,024.32x = 3,035.40 × 637.28
  4. Step 4: Simplify right side
    2,024.32x = 1,934,384.54
  5. Step 5: Solve for x
    x = 1,934,384.54/2,024.32
  6. Step 6: Final answer
    x = 955.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.