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Finding the Fourth Proportional to 1,376.19, 1,898.97 and 816.45

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Solution

The fourth proportional to 1,376.19, 1,898.97 and 816.45 is: 1,126.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.19 : 1,898.97 = 816.45 : x
  2. Step 2: Convert to fraction form
    1,376.19/1,898.97 = 816.45/x
  3. Step 3: Cross multiply
    1,376.19x = 1,898.97 × 816.45
  4. Step 4: Simplify right side
    1,376.19x = 1,550,414.06
  5. Step 5: Solve for x
    x = 1,550,414.06/1,376.19
  6. Step 6: Final answer
    x = 1,126.60

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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.