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Finding the Fourth Proportional to 2,346.75, 3,238.52 and 1,298.88

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Solution

The fourth proportional to 2,346.75, 3,238.52 and 1,298.88 is: 1,792.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.75 : 3,238.52 = 1,298.88 : x
  2. Step 2: Convert to fraction form
    2,346.75/3,238.52 = 1,298.88/x
  3. Step 3: Cross multiply
    2,346.75x = 3,238.52 × 1,298.88
  4. Step 4: Simplify right side
    2,346.75x = 4,206,442.36
  5. Step 5: Solve for x
    x = 4,206,442.36/2,346.75
  6. Step 6: Final answer
    x = 1,792.45

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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.