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Finding the Fourth Proportional to 2,463.58, 3,400.05 and 1,415.98

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Solution

The fourth proportional to 2,463.58, 3,400.05 and 1,415.98 is: 1,954.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.58 : 3,400.05 = 1,415.98 : x
  2. Step 2: Convert to fraction form
    2,463.58/3,400.05 = 1,415.98/x
  3. Step 3: Cross multiply
    2,463.58x = 3,400.05 × 1,415.98
  4. Step 4: Simplify right side
    2,463.58x = 4,814,402.80
  5. Step 5: Solve for x
    x = 4,814,402.80/2,463.58
  6. Step 6: Final answer
    x = 1,954.23

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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.