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Finding the Fourth Proportional to 2,894.13, 4,342.41 and 1,596.51

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Solution

The fourth proportional to 2,894.13, 4,342.41 and 1,596.51 is: 2,395.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.13 : 4,342.41 = 1,596.51 : x
  2. Step 2: Convert to fraction form
    2,894.13/4,342.41 = 1,596.51/x
  3. Step 3: Cross multiply
    2,894.13x = 4,342.41 × 1,596.51
  4. Step 4: Simplify right side
    2,894.13x = 6,932,700.99
  5. Step 5: Solve for x
    x = 6,932,700.99/2,894.13
  6. Step 6: Final answer
    x = 2,395.44

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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.