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Finding the Fourth Proportional to 2,903.53, 4,354.95 and 955.25

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Solution

The fourth proportional to 2,903.53, 4,354.95 and 955.25 is: 1,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.53 : 4,354.95 = 955.25 : x
  2. Step 2: Convert to fraction form
    2,903.53/4,354.95 = 955.25/x
  3. Step 3: Cross multiply
    2,903.53x = 4,354.95 × 955.25
  4. Step 4: Simplify right side
    2,903.53x = 4,160,065.99
  5. Step 5: Solve for x
    x = 4,160,065.99/2,903.53
  6. Step 6: Final answer
    x = 1,432.76

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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.