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Finding the Fourth Proportional to 2,858.88, 4,289.76 and 2,095.68

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Solution

The fourth proportional to 2,858.88, 4,289.76 and 2,095.68 is: 3,144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.88 : 4,289.76 = 2,095.68 : x
  2. Step 2: Convert to fraction form
    2,858.88/4,289.76 = 2,095.68/x
  3. Step 3: Cross multiply
    2,858.88x = 4,289.76 × 2,095.68
  4. Step 4: Simplify right side
    2,858.88x = 8,989,964.24
  5. Step 5: Solve for x
    x = 8,989,964.24/2,858.88
  6. Step 6: Final answer
    x = 3,144.58

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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.