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Finding the Fourth Proportional to 2,099.02, 3,160.74 and 1,555.06

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Solution

The fourth proportional to 2,099.02, 3,160.74 and 1,555.06 is: 2,341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.02 : 3,160.74 = 1,555.06 : x
  2. Step 2: Convert to fraction form
    2,099.02/3,160.74 = 1,555.06/x
  3. Step 3: Cross multiply
    2,099.02x = 3,160.74 × 1,555.06
  4. Step 4: Simplify right side
    2,099.02x = 4,915,140.34
  5. Step 5: Solve for x
    x = 4,915,140.34/2,099.02
  6. Step 6: Final answer
    x = 2,341.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.