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Finding the Fourth Proportional to 2,045.02, 2,821.96 and 1,160.97

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Solution

The fourth proportional to 2,045.02, 2,821.96 and 1,160.97 is: 1,602.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.02 : 2,821.96 = 1,160.97 : x
  2. Step 2: Convert to fraction form
    2,045.02/2,821.96 = 1,160.97/x
  3. Step 3: Cross multiply
    2,045.02x = 2,821.96 × 1,160.97
  4. Step 4: Simplify right side
    2,045.02x = 3,276,210.90
  5. Step 5: Solve for x
    x = 3,276,210.90/2,045.02
  6. Step 6: Final answer
    x = 1,602.04

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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.