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Finding the Fourth Proportional to 2,903.26, 4,355.38 and 955.02

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Solution

The fourth proportional to 2,903.26, 4,355.38 and 955.02 is: 1,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.26 : 4,355.38 = 955.02 : x
  2. Step 2: Convert to fraction form
    2,903.26/4,355.38 = 955.02/x
  3. Step 3: Cross multiply
    2,903.26x = 4,355.38 × 955.02
  4. Step 4: Simplify right side
    2,903.26x = 4,159,475.01
  5. Step 5: Solve for x
    x = 4,159,475.01/2,903.26
  6. Step 6: Final answer
    x = 1,432.69

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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.