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Finding the Fourth Proportional to 2,327.97, 3,211.86 and 1,430.76

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Solution

The fourth proportional to 2,327.97, 3,211.86 and 1,430.76 is: 1,973.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.97 : 3,211.86 = 1,430.76 : x
  2. Step 2: Convert to fraction form
    2,327.97/3,211.86 = 1,430.76/x
  3. Step 3: Cross multiply
    2,327.97x = 3,211.86 × 1,430.76
  4. Step 4: Simplify right side
    2,327.97x = 4,595,400.81
  5. Step 5: Solve for x
    x = 4,595,400.81/2,327.97
  6. Step 6: Final answer
    x = 1,973.99

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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.