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Finding the Fourth Proportional to 2,298.51, 3,447.29 and 654.62

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Solution

The fourth proportional to 2,298.51, 3,447.29 and 654.62 is: 981.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.51 : 3,447.29 = 654.62 : x
  2. Step 2: Convert to fraction form
    2,298.51/3,447.29 = 654.62/x
  3. Step 3: Cross multiply
    2,298.51x = 3,447.29 × 654.62
  4. Step 4: Simplify right side
    2,298.51x = 2,256,644.47
  5. Step 5: Solve for x
    x = 2,256,644.47/2,298.51
  6. Step 6: Final answer
    x = 981.79

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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.