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Finding the Fourth Proportional to 2,432.85, 3,646.84 and 950.03

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Solution

The fourth proportional to 2,432.85, 3,646.84 and 950.03 is: 1,424.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.85 : 3,646.84 = 950.03 : x
  2. Step 2: Convert to fraction form
    2,432.85/3,646.84 = 950.03/x
  3. Step 3: Cross multiply
    2,432.85x = 3,646.84 × 950.03
  4. Step 4: Simplify right side
    2,432.85x = 3,464,622.77
  5. Step 5: Solve for x
    x = 3,464,622.77/2,432.85
  6. Step 6: Final answer
    x = 1,424.10

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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.