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Finding the Fourth Proportional to 2,357.30, 3,244.90 and 2,038.12

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Solution

The fourth proportional to 2,357.30, 3,244.90 and 2,038.12 is: 2,805.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.30 : 3,244.90 = 2,038.12 : x
  2. Step 2: Convert to fraction form
    2,357.30/3,244.90 = 2,038.12/x
  3. Step 3: Cross multiply
    2,357.30x = 3,244.90 × 2,038.12
  4. Step 4: Simplify right side
    2,357.30x = 6,613,495.59
  5. Step 5: Solve for x
    x = 6,613,495.59/2,357.30
  6. Step 6: Final answer
    x = 2,805.54

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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.