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Finding the Fourth Proportional to 1,430.27, 1,972.23 and 1,131.02

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Solution

The fourth proportional to 1,430.27, 1,972.23 and 1,131.02 is: 1,559.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.27 : 1,972.23 = 1,131.02 : x
  2. Step 2: Convert to fraction form
    1,430.27/1,972.23 = 1,131.02/x
  3. Step 3: Cross multiply
    1,430.27x = 1,972.23 × 1,131.02
  4. Step 4: Simplify right side
    1,430.27x = 2,230,631.57
  5. Step 5: Solve for x
    x = 2,230,631.57/1,430.27
  6. Step 6: Final answer
    x = 1,559.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.