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Finding the Fourth Proportional to 2,945.42, 4,064.60 and 1,898.09

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Solution

The fourth proportional to 2,945.42, 4,064.60 and 1,898.09 is: 2,619.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.42 : 4,064.60 = 1,898.09 : x
  2. Step 2: Convert to fraction form
    2,945.42/4,064.60 = 1,898.09/x
  3. Step 3: Cross multiply
    2,945.42x = 4,064.60 × 1,898.09
  4. Step 4: Simplify right side
    2,945.42x = 7,714,967.12
  5. Step 5: Solve for x
    x = 7,714,967.12/2,945.42
  6. Step 6: Final answer
    x = 2,619.31

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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.