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Finding the Fourth Proportional to 1,400.67, 2,109.20 and 1,038.02

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Solution

The fourth proportional to 1,400.67, 2,109.20 and 1,038.02 is: 1,563.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.67 : 2,109.20 = 1,038.02 : x
  2. Step 2: Convert to fraction form
    1,400.67/2,109.20 = 1,038.02/x
  3. Step 3: Cross multiply
    1,400.67x = 2,109.20 × 1,038.02
  4. Step 4: Simplify right side
    1,400.67x = 2,189,376.05
  5. Step 5: Solve for x
    x = 2,189,376.05/1,400.67
  6. Step 6: Final answer
    x = 1,563.09

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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.