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Finding the Fourth Proportional to 3,488.56, 4,814.10 and 1,916.54

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Solution

The fourth proportional to 3,488.56, 4,814.10 and 1,916.54 is: 2,644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.56 : 4,814.10 = 1,916.54 : x
  2. Step 2: Convert to fraction form
    3,488.56/4,814.10 = 1,916.54/x
  3. Step 3: Cross multiply
    3,488.56x = 4,814.10 × 1,916.54
  4. Step 4: Simplify right side
    3,488.56x = 9,226,415.21
  5. Step 5: Solve for x
    x = 9,226,415.21/3,488.56
  6. Step 6: Final answer
    x = 2,644.76

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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.