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Finding the Fourth Proportional to 1,863.81, 2,573.24 and 1,666.98

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Solution

The fourth proportional to 1,863.81, 2,573.24 and 1,666.98 is: 2,301.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.81 : 2,573.24 = 1,666.98 : x
  2. Step 2: Convert to fraction form
    1,863.81/2,573.24 = 1,666.98/x
  3. Step 3: Cross multiply
    1,863.81x = 2,573.24 × 1,666.98
  4. Step 4: Simplify right side
    1,863.81x = 4,289,531.28
  5. Step 5: Solve for x
    x = 4,289,531.28/1,863.81
  6. Step 6: Final answer
    x = 2,301.49

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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.