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Finding the Fourth Proportional to 2,888.24, 3,986.14 and 1,894.36

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Solution

The fourth proportional to 2,888.24, 3,986.14 and 1,894.36 is: 2,614.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.24 : 3,986.14 = 1,894.36 : x
  2. Step 2: Convert to fraction form
    2,888.24/3,986.14 = 1,894.36/x
  3. Step 3: Cross multiply
    2,888.24x = 3,986.14 × 1,894.36
  4. Step 4: Simplify right side
    2,888.24x = 7,551,184.17
  5. Step 5: Solve for x
    x = 7,551,184.17/2,888.24
  6. Step 6: Final answer
    x = 2,614.46

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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.