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Finding the Fourth Proportional to 1,916.52, 2,861.82 and 1,680.51

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Solution

The fourth proportional to 1,916.52, 2,861.82 and 1,680.51 is: 2,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.52 : 2,861.82 = 1,680.51 : x
  2. Step 2: Convert to fraction form
    1,916.52/2,861.82 = 1,680.51/x
  3. Step 3: Cross multiply
    1,916.52x = 2,861.82 × 1,680.51
  4. Step 4: Simplify right side
    1,916.52x = 4,809,317.13
  5. Step 5: Solve for x
    x = 4,809,317.13/1,916.52
  6. Step 6: Final answer
    x = 2,509.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.