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Finding the Fourth Proportional to 2,353.41, 3,529.71 and 1,314.45

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Solution

The fourth proportional to 2,353.41, 3,529.71 and 1,314.45 is: 1,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.41 : 3,529.71 = 1,314.45 : x
  2. Step 2: Convert to fraction form
    2,353.41/3,529.71 = 1,314.45/x
  3. Step 3: Cross multiply
    2,353.41x = 3,529.71 × 1,314.45
  4. Step 4: Simplify right side
    2,353.41x = 4,639,627.31
  5. Step 5: Solve for x
    x = 4,639,627.31/2,353.41
  6. Step 6: Final answer
    x = 1,971.45

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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.