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Finding the Fourth Proportional to 2,385.47, 3,579.60 and 998.69

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Solution

The fourth proportional to 2,385.47, 3,579.60 and 998.69 is: 1,498.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.47 : 3,579.60 = 998.69 : x
  2. Step 2: Convert to fraction form
    2,385.47/3,579.60 = 998.69/x
  3. Step 3: Cross multiply
    2,385.47x = 3,579.60 × 998.69
  4. Step 4: Simplify right side
    2,385.47x = 3,574,892.83
  5. Step 5: Solve for x
    x = 3,574,892.83/2,385.47
  6. Step 6: Final answer
    x = 1,498.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.