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Finding the Fourth Proportional to 3,024.34, 4,535.90 and 944

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Solution

The fourth proportional to 3,024.34, 4,535.90 and 944 is: 1,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.34 : 4,535.90 = 944 : x
  2. Step 2: Convert to fraction form
    3,024.34/4,535.90 = 944/x
  3. Step 3: Cross multiply
    3,024.34x = 4,535.90 × 944
  4. Step 4: Simplify right side
    3,024.34x = 4,281,889.60
  5. Step 5: Solve for x
    x = 4,281,889.60/3,024.34
  6. Step 6: Final answer
    x = 1,415.81

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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.