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Finding the Fourth Proportional to 2,803.41, 4,204.34 and 953.51

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Solution

The fourth proportional to 2,803.41, 4,204.34 and 953.51 is: 1,429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.41 : 4,204.34 = 953.51 : x
  2. Step 2: Convert to fraction form
    2,803.41/4,204.34 = 953.51/x
  3. Step 3: Cross multiply
    2,803.41x = 4,204.34 × 953.51
  4. Step 4: Simplify right side
    2,803.41x = 4,008,858.02
  5. Step 5: Solve for x
    x = 4,008,858.02/2,803.41
  6. Step 6: Final answer
    x = 1,429.99

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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.