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Finding the Fourth Proportional to 2,459.74, 3,686.37 and 998.10

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Solution

The fourth proportional to 2,459.74, 3,686.37 and 998.10 is: 1,495.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.74 : 3,686.37 = 998.10 : x
  2. Step 2: Convert to fraction form
    2,459.74/3,686.37 = 998.10/x
  3. Step 3: Cross multiply
    2,459.74x = 3,686.37 × 998.10
  4. Step 4: Simplify right side
    2,459.74x = 3,679,365.90
  5. Step 5: Solve for x
    x = 3,679,365.90/2,459.74
  6. Step 6: Final answer
    x = 1,495.84

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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.