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Finding the Fourth Proportional to 1,858.43, 2,564.11 and 1,464.23

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Solution

The fourth proportional to 1,858.43, 2,564.11 and 1,464.23 is: 2,020.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.43 : 2,564.11 = 1,464.23 : x
  2. Step 2: Convert to fraction form
    1,858.43/2,564.11 = 1,464.23/x
  3. Step 3: Cross multiply
    1,858.43x = 2,564.11 × 1,464.23
  4. Step 4: Simplify right side
    1,858.43x = 3,754,446.79
  5. Step 5: Solve for x
    x = 3,754,446.79/1,858.43
  6. Step 6: Final answer
    x = 2,020.23

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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.