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Finding the Fourth Proportional to 2,848.29, 3,930.53 and 1,653.30

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Solution

The fourth proportional to 2,848.29, 3,930.53 and 1,653.30 is: 2,281.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.29 : 3,930.53 = 1,653.30 : x
  2. Step 2: Convert to fraction form
    2,848.29/3,930.53 = 1,653.30/x
  3. Step 3: Cross multiply
    2,848.29x = 3,930.53 × 1,653.30
  4. Step 4: Simplify right side
    2,848.29x = 6,498,336.98
  5. Step 5: Solve for x
    x = 6,498,336.98/2,848.29
  6. Step 6: Final answer
    x = 2,281.49

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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.