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Finding the Fourth Proportional to 2,346.64, 3,238.41 and 1,298.77

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Solution

The fourth proportional to 2,346.64, 3,238.41 and 1,298.77 is: 1,792.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.64 : 3,238.41 = 1,298.77 : x
  2. Step 2: Convert to fraction form
    2,346.64/3,238.41 = 1,298.77/x
  3. Step 3: Cross multiply
    2,346.64x = 3,238.41 × 1,298.77
  4. Step 4: Simplify right side
    2,346.64x = 4,205,949.76
  5. Step 5: Solve for x
    x = 4,205,949.76/2,346.64
  6. Step 6: Final answer
    x = 1,792.33

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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.