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Finding the Fourth Proportional to 2,045.94, 2,823.30 and 1,161.63

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Solution

The fourth proportional to 2,045.94, 2,823.30 and 1,161.63 is: 1,602.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.94 : 2,823.30 = 1,161.63 : x
  2. Step 2: Convert to fraction form
    2,045.94/2,823.30 = 1,161.63/x
  3. Step 3: Cross multiply
    2,045.94x = 2,823.30 × 1,161.63
  4. Step 4: Simplify right side
    2,045.94x = 3,279,629.98
  5. Step 5: Solve for x
    x = 3,279,629.98/2,045.94
  6. Step 6: Final answer
    x = 1,602.99

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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.