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Finding the Fourth Proportional to 2,269.60, 3,132.80 and 1,430.40

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Solution

The fourth proportional to 2,269.60, 3,132.80 and 1,430.40 is: 1,974.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.60 : 3,132.80 = 1,430.40 : x
  2. Step 2: Convert to fraction form
    2,269.60/3,132.80 = 1,430.40/x
  3. Step 3: Cross multiply
    2,269.60x = 3,132.80 × 1,430.40
  4. Step 4: Simplify right side
    2,269.60x = 4,481,157.12
  5. Step 5: Solve for x
    x = 4,481,157.12/2,269.60
  6. Step 6: Final answer
    x = 1,974.43

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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.