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Finding the Fourth Proportional to 1,916.70, 2,645.58 and 1,131

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Solution

The fourth proportional to 1,916.70, 2,645.58 and 1,131 is: 1,561.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.70 : 2,645.58 = 1,131 : x
  2. Step 2: Convert to fraction form
    1,916.70/2,645.58 = 1,131/x
  3. Step 3: Cross multiply
    1,916.70x = 2,645.58 × 1,131
  4. Step 4: Simplify right side
    1,916.70x = 2,992,150.98
  5. Step 5: Solve for x
    x = 2,992,150.98/1,916.70
  6. Step 6: Final answer
    x = 1,561.10

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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.