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Finding the Fourth Proportional to 1,817.43, 2,507.99 and 1,031.46

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Solution

The fourth proportional to 1,817.43, 2,507.99 and 1,031.46 is: 1,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.43 : 2,507.99 = 1,031.46 : x
  2. Step 2: Convert to fraction form
    1,817.43/2,507.99 = 1,031.46/x
  3. Step 3: Cross multiply
    1,817.43x = 2,507.99 × 1,031.46
  4. Step 4: Simplify right side
    1,817.43x = 2,586,886.21
  5. Step 5: Solve for x
    x = 2,586,886.21/1,817.43
  6. Step 6: Final answer
    x = 1,423.38

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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.