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Finding the Fourth Proportional to 2,045.07, 2,822.49 and 1,160.69

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Solution

The fourth proportional to 2,045.07, 2,822.49 and 1,160.69 is: 1,601.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.07 : 2,822.49 = 1,160.69 : x
  2. Step 2: Convert to fraction form
    2,045.07/2,822.49 = 1,160.69/x
  3. Step 3: Cross multiply
    2,045.07x = 2,822.49 × 1,160.69
  4. Step 4: Simplify right side
    2,045.07x = 3,276,021.81
  5. Step 5: Solve for x
    x = 3,276,021.81/2,045.07
  6. Step 6: Final answer
    x = 1,601.91

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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.