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Finding the Fourth Proportional to 3,488.17, 4,813.63 and 1,916.23

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Solution

The fourth proportional to 3,488.17, 4,813.63 and 1,916.23 is: 2,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.17 : 4,813.63 = 1,916.23 : x
  2. Step 2: Convert to fraction form
    3,488.17/4,813.63 = 1,916.23/x
  3. Step 3: Cross multiply
    3,488.17x = 4,813.63 × 1,916.23
  4. Step 4: Simplify right side
    3,488.17x = 9,224,022.21
  5. Step 5: Solve for x
    x = 9,224,022.21/3,488.17
  6. Step 6: Final answer
    x = 2,644.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.