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Finding the Fourth Proportional to 2,045.23, 2,822.12 and 1,160.91

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Solution

The fourth proportional to 2,045.23, 2,822.12 and 1,160.91 is: 1,601.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.23 : 2,822.12 = 1,160.91 : x
  2. Step 2: Convert to fraction form
    2,045.23/2,822.12 = 1,160.91/x
  3. Step 3: Cross multiply
    2,045.23x = 2,822.12 × 1,160.91
  4. Step 4: Simplify right side
    2,045.23x = 3,276,232.41
  5. Step 5: Solve for x
    x = 3,276,232.41/2,045.23
  6. Step 6: Final answer
    x = 1,601.89

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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.