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Finding the Fourth Proportional to 1,374.45, 1,896.06 and 981.71

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Solution

The fourth proportional to 1,374.45, 1,896.06 and 981.71 is: 1,354.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.45 : 1,896.06 = 981.71 : x
  2. Step 2: Convert to fraction form
    1,374.45/1,896.06 = 981.71/x
  3. Step 3: Cross multiply
    1,374.45x = 1,896.06 × 981.71
  4. Step 4: Simplify right side
    1,374.45x = 1,861,381.06
  5. Step 5: Solve for x
    x = 1,861,381.06/1,374.45
  6. Step 6: Final answer
    x = 1,354.27

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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.