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Finding the Fourth Proportional to 2,384.60, 3,577.98 and 998.96

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Solution

The fourth proportional to 2,384.60, 3,577.98 and 998.96 is: 1,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.60 : 3,577.98 = 998.96 : x
  2. Step 2: Convert to fraction form
    2,384.60/3,577.98 = 998.96/x
  3. Step 3: Cross multiply
    2,384.60x = 3,577.98 × 998.96
  4. Step 4: Simplify right side
    2,384.60x = 3,574,258.90
  5. Step 5: Solve for x
    x = 3,574,258.90/2,384.60
  6. Step 6: Final answer
    x = 1,498.89

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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.