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Finding the Fourth Proportional to 3,407.99, 4,703.31 and 1,916.05

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Solution

The fourth proportional to 3,407.99, 4,703.31 and 1,916.05 is: 2,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.99 : 4,703.31 = 1,916.05 : x
  2. Step 2: Convert to fraction form
    3,407.99/4,703.31 = 1,916.05/x
  3. Step 3: Cross multiply
    3,407.99x = 4,703.31 × 1,916.05
  4. Step 4: Simplify right side
    3,407.99x = 9,011,772.55
  5. Step 5: Solve for x
    x = 9,011,772.55/3,407.99
  6. Step 6: Final answer
    x = 2,644.31

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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.