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Finding the Fourth Proportional to 2,459.25, 3,689.42 and 816.98

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Solution

The fourth proportional to 2,459.25, 3,689.42 and 816.98 is: 1,225.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.25 : 3,689.42 = 816.98 : x
  2. Step 2: Convert to fraction form
    2,459.25/3,689.42 = 816.98/x
  3. Step 3: Cross multiply
    2,459.25x = 3,689.42 × 816.98
  4. Step 4: Simplify right side
    2,459.25x = 3,014,159.82
  5. Step 5: Solve for x
    x = 3,014,159.82/2,459.25
  6. Step 6: Final answer
    x = 1,225.64

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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.