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Finding the Fourth Proportional to 1,430.01, 2,145.74 and 1,083.23

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Solution

The fourth proportional to 1,430.01, 2,145.74 and 1,083.23 is: 1,625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.01 : 2,145.74 = 1,083.23 : x
  2. Step 2: Convert to fraction form
    1,430.01/2,145.74 = 1,083.23/x
  3. Step 3: Cross multiply
    1,430.01x = 2,145.74 × 1,083.23
  4. Step 4: Simplify right side
    1,430.01x = 2,324,319.21
  5. Step 5: Solve for x
    x = 2,324,319.21/1,430.01
  6. Step 6: Final answer
    x = 1,625.39

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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.