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Finding the Fourth Proportional to 2,405.94, 3,320.50 and 1,358.22

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Solution

The fourth proportional to 2,405.94, 3,320.50 and 1,358.22 is: 1,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.94 : 3,320.50 = 1,358.22 : x
  2. Step 2: Convert to fraction form
    2,405.94/3,320.50 = 1,358.22/x
  3. Step 3: Cross multiply
    2,405.94x = 3,320.50 × 1,358.22
  4. Step 4: Simplify right side
    2,405.94x = 4,509,969.51
  5. Step 5: Solve for x
    x = 4,509,969.51/2,405.94
  6. Step 6: Final answer
    x = 1,874.51

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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.