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Finding the Fourth Proportional to 2,405.41, 3,320.07 and 1,358.08

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Solution

The fourth proportional to 2,405.41, 3,320.07 and 1,358.08 is: 1,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.41 : 3,320.07 = 1,358.08 : x
  2. Step 2: Convert to fraction form
    2,405.41/3,320.07 = 1,358.08/x
  3. Step 3: Cross multiply
    2,405.41x = 3,320.07 × 1,358.08
  4. Step 4: Simplify right side
    2,405.41x = 4,508,920.67
  5. Step 5: Solve for x
    x = 4,508,920.67/2,405.41
  6. Step 6: Final answer
    x = 1,874.49

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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.