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Finding the Fourth Proportional to 2,963.32, 4,444.01 and 988.53

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Solution

The fourth proportional to 2,963.32, 4,444.01 and 988.53 is: 1,482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.32 : 4,444.01 = 988.53 : x
  2. Step 2: Convert to fraction form
    2,963.32/4,444.01 = 988.53/x
  3. Step 3: Cross multiply
    2,963.32x = 4,444.01 × 988.53
  4. Step 4: Simplify right side
    2,963.32x = 4,393,037.21
  5. Step 5: Solve for x
    x = 4,393,037.21/2,963.32
  6. Step 6: Final answer
    x = 1,482.47

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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.