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Finding the Fourth Proportional to 2,313.59, 3,190.82 and 1,429.61

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Solution

The fourth proportional to 2,313.59, 3,190.82 and 1,429.61 is: 1,971.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.59 : 3,190.82 = 1,429.61 : x
  2. Step 2: Convert to fraction form
    2,313.59/3,190.82 = 1,429.61/x
  3. Step 3: Cross multiply
    2,313.59x = 3,190.82 × 1,429.61
  4. Step 4: Simplify right side
    2,313.59x = 4,561,605.08
  5. Step 5: Solve for x
    x = 4,561,605.08/2,313.59
  6. Step 6: Final answer
    x = 1,971.66

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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.