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Finding the Fourth Proportional to 2,385.46, 3,577.54 and 998.51

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Solution

The fourth proportional to 2,385.46, 3,577.54 and 998.51 is: 1,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.46 : 3,577.54 = 998.51 : x
  2. Step 2: Convert to fraction form
    2,385.46/3,577.54 = 998.51/x
  3. Step 3: Cross multiply
    2,385.46x = 3,577.54 × 998.51
  4. Step 4: Simplify right side
    2,385.46x = 3,572,213.89
  5. Step 5: Solve for x
    x = 3,572,213.89/2,385.46
  6. Step 6: Final answer
    x = 1,497.50

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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.