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Finding the Fourth Proportional to 2,968.56, 4,449.84 and 1,503.28

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Solution

The fourth proportional to 2,968.56, 4,449.84 and 1,503.28 is: 2,253.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.56 : 4,449.84 = 1,503.28 : x
  2. Step 2: Convert to fraction form
    2,968.56/4,449.84 = 1,503.28/x
  3. Step 3: Cross multiply
    2,968.56x = 4,449.84 × 1,503.28
  4. Step 4: Simplify right side
    2,968.56x = 6,689,355.48
  5. Step 5: Solve for x
    x = 6,689,355.48/2,968.56
  6. Step 6: Final answer
    x = 2,253.40

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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.