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Finding the Fourth Proportional to 1,970.81, 2,954.38 and 1,562.57

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Solution

The fourth proportional to 1,970.81, 2,954.38 and 1,562.57 is: 2,342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.81 : 2,954.38 = 1,562.57 : x
  2. Step 2: Convert to fraction form
    1,970.81/2,954.38 = 1,562.57/x
  3. Step 3: Cross multiply
    1,970.81x = 2,954.38 × 1,562.57
  4. Step 4: Simplify right side
    1,970.81x = 4,616,425.56
  5. Step 5: Solve for x
    x = 4,616,425.56/1,970.81
  6. Step 6: Final answer
    x = 2,342.40

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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.