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Finding the Fourth Proportional to 1,380.01, 2,068.02 and 1,066.57

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Solution

The fourth proportional to 1,380.01, 2,068.02 and 1,066.57 is: 1,598.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.01 : 2,068.02 = 1,066.57 : x
  2. Step 2: Convert to fraction form
    1,380.01/2,068.02 = 1,066.57/x
  3. Step 3: Cross multiply
    1,380.01x = 2,068.02 × 1,066.57
  4. Step 4: Simplify right side
    1,380.01x = 2,205,688.09
  5. Step 5: Solve for x
    x = 2,205,688.09/1,380.01
  6. Step 6: Final answer
    x = 1,598.31

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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.