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Finding the Fourth Proportional to 2,898.59, 3,995.66 and 2,475.77

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Solution

The fourth proportional to 2,898.59, 3,995.66 and 2,475.77 is: 3,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.59 : 3,995.66 = 2,475.77 : x
  2. Step 2: Convert to fraction form
    2,898.59/3,995.66 = 2,475.77/x
  3. Step 3: Cross multiply
    2,898.59x = 3,995.66 × 2,475.77
  4. Step 4: Simplify right side
    2,898.59x = 9,892,321.37
  5. Step 5: Solve for x
    x = 9,892,321.37/2,898.59
  6. Step 6: Final answer
    x = 3,412.81

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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.