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Finding the Fourth Proportional to 2,935.24, 4,402.86 and 988.81

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Solution

The fourth proportional to 2,935.24, 4,402.86 and 988.81 is: 1,483.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.24 : 4,402.86 = 988.81 : x
  2. Step 2: Convert to fraction form
    2,935.24/4,402.86 = 988.81/x
  3. Step 3: Cross multiply
    2,935.24x = 4,402.86 × 988.81
  4. Step 4: Simplify right side
    2,935.24x = 4,353,577.28
  5. Step 5: Solve for x
    x = 4,353,577.28/2,935.24
  6. Step 6: Final answer
    x = 1,483.21

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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.