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Finding the Fourth Proportional to 2,451.48, 3,677.58 and 990.36

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Solution

The fourth proportional to 2,451.48, 3,677.58 and 990.36 is: 1,485.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.48 : 3,677.58 = 990.36 : x
  2. Step 2: Convert to fraction form
    2,451.48/3,677.58 = 990.36/x
  3. Step 3: Cross multiply
    2,451.48x = 3,677.58 × 990.36
  4. Step 4: Simplify right side
    2,451.48x = 3,642,128.13
  5. Step 5: Solve for x
    x = 3,642,128.13/2,451.48
  6. Step 6: Final answer
    x = 1,485.69

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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.