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Finding the Fourth Proportional to 1,376.16, 1,898.94 and 816.69

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Solution

The fourth proportional to 1,376.16, 1,898.94 and 816.69 is: 1,126.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.16 : 1,898.94 = 816.69 : x
  2. Step 2: Convert to fraction form
    1,376.16/1,898.94 = 816.69/x
  3. Step 3: Cross multiply
    1,376.16x = 1,898.94 × 816.69
  4. Step 4: Simplify right side
    1,376.16x = 1,550,845.31
  5. Step 5: Solve for x
    x = 1,550,845.31/1,376.16
  6. Step 6: Final answer
    x = 1,126.94

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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.