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Finding the Fourth Proportional to 1,590.67, 2,194.67 and 1,031.16

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Solution

The fourth proportional to 1,590.67, 2,194.67 and 1,031.16 is: 1,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.67 : 2,194.67 = 1,031.16 : x
  2. Step 2: Convert to fraction form
    1,590.67/2,194.67 = 1,031.16/x
  3. Step 3: Cross multiply
    1,590.67x = 2,194.67 × 1,031.16
  4. Step 4: Simplify right side
    1,590.67x = 2,263,058.50
  5. Step 5: Solve for x
    x = 2,263,058.50/1,590.67
  6. Step 6: Final answer
    x = 1,422.71

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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.