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Finding the Fourth Proportional to 2,900.14, 3,998.46 and 2,368.51

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Solution

The fourth proportional to 2,900.14, 3,998.46 and 2,368.51 is: 3,265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.14 : 3,998.46 = 2,368.51 : x
  2. Step 2: Convert to fraction form
    2,900.14/3,998.46 = 2,368.51/x
  3. Step 3: Cross multiply
    2,900.14x = 3,998.46 × 2,368.51
  4. Step 4: Simplify right side
    2,900.14x = 9,470,392.49
  5. Step 5: Solve for x
    x = 9,470,392.49/2,900.14
  6. Step 6: Final answer
    x = 3,265.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.