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Finding the Fourth Proportional to 2,888.51, 3,984.14 and 1,768.01

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Solution

The fourth proportional to 2,888.51, 3,984.14 and 1,768.01 is: 2,438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.51 : 3,984.14 = 1,768.01 : x
  2. Step 2: Convert to fraction form
    2,888.51/3,984.14 = 1,768.01/x
  3. Step 3: Cross multiply
    2,888.51x = 3,984.14 × 1,768.01
  4. Step 4: Simplify right side
    2,888.51x = 7,043,983.86
  5. Step 5: Solve for x
    x = 7,043,983.86/2,888.51
  6. Step 6: Final answer
    x = 2,438.63

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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.