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Finding the Fourth Proportional to 2,340.49, 3,508.93 and 1,415.83

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Solution

The fourth proportional to 2,340.49, 3,508.93 and 1,415.83 is: 2,122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.49 : 3,508.93 = 1,415.83 : x
  2. Step 2: Convert to fraction form
    2,340.49/3,508.93 = 1,415.83/x
  3. Step 3: Cross multiply
    2,340.49x = 3,508.93 × 1,415.83
  4. Step 4: Simplify right side
    2,340.49x = 4,968,048.36
  5. Step 5: Solve for x
    x = 4,968,048.36/2,340.49
  6. Step 6: Final answer
    x = 2,122.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.