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Finding the Fourth Proportional to 2,068.95, 3,100.98 and 1,028.64

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Solution

The fourth proportional to 2,068.95, 3,100.98 and 1,028.64 is: 1,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.95 : 3,100.98 = 1,028.64 : x
  2. Step 2: Convert to fraction form
    2,068.95/3,100.98 = 1,028.64/x
  3. Step 3: Cross multiply
    2,068.95x = 3,100.98 × 1,028.64
  4. Step 4: Simplify right side
    2,068.95x = 3,189,792.07
  5. Step 5: Solve for x
    x = 3,189,792.07/2,068.95
  6. Step 6: Final answer
    x = 1,541.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.