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Finding the Fourth Proportional to 2,803.46, 4,205.64 and 954.68

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Solution

The fourth proportional to 2,803.46, 4,205.64 and 954.68 is: 1,432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.46 : 4,205.64 = 954.68 : x
  2. Step 2: Convert to fraction form
    2,803.46/4,205.64 = 954.68/x
  3. Step 3: Cross multiply
    2,803.46x = 4,205.64 × 954.68
  4. Step 4: Simplify right side
    2,803.46x = 4,015,040.40
  5. Step 5: Solve for x
    x = 4,015,040.40/2,803.46
  6. Step 6: Final answer
    x = 1,432.17

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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.