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Finding the Fourth Proportional to 2,093.57, 2,889.13 and 1,308.07

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Solution

The fourth proportional to 2,093.57, 2,889.13 and 1,308.07 is: 1,805.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.57 : 2,889.13 = 1,308.07 : x
  2. Step 2: Convert to fraction form
    2,093.57/2,889.13 = 1,308.07/x
  3. Step 3: Cross multiply
    2,093.57x = 2,889.13 × 1,308.07
  4. Step 4: Simplify right side
    2,093.57x = 3,779,169.83
  5. Step 5: Solve for x
    x = 3,779,169.83/2,093.57
  6. Step 6: Final answer
    x = 1,805.14

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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.