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Finding the Fourth Proportional to 1,884.56, 2,600.01 and 1,138.23

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Solution

The fourth proportional to 1,884.56, 2,600.01 and 1,138.23 is: 1,570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.56 : 2,600.01 = 1,138.23 : x
  2. Step 2: Convert to fraction form
    1,884.56/2,600.01 = 1,138.23/x
  3. Step 3: Cross multiply
    1,884.56x = 2,600.01 × 1,138.23
  4. Step 4: Simplify right side
    1,884.56x = 2,959,409.38
  5. Step 5: Solve for x
    x = 2,959,409.38/1,884.56
  6. Step 6: Final answer
    x = 1,570.35

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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.