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Finding the Fourth Proportional to 1,400.96, 2,090.08 and 1,275.20

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Solution

The fourth proportional to 1,400.96, 2,090.08 and 1,275.20 is: 1,902.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.96 : 2,090.08 = 1,275.20 : x
  2. Step 2: Convert to fraction form
    1,400.96/2,090.08 = 1,275.20/x
  3. Step 3: Cross multiply
    1,400.96x = 2,090.08 × 1,275.20
  4. Step 4: Simplify right side
    1,400.96x = 2,665,270.02
  5. Step 5: Solve for x
    x = 2,665,270.02/1,400.96
  6. Step 6: Final answer
    x = 1,902.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.