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Finding the Fourth Proportional to 1,590.75, 2,195.33 and 892.17

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Solution

The fourth proportional to 1,590.75, 2,195.33 and 892.17 is: 1,231.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.75 : 2,195.33 = 892.17 : x
  2. Step 2: Convert to fraction form
    1,590.75/2,195.33 = 892.17/x
  3. Step 3: Cross multiply
    1,590.75x = 2,195.33 × 892.17
  4. Step 4: Simplify right side
    1,590.75x = 1,958,603.11
  5. Step 5: Solve for x
    x = 1,958,603.11/1,590.75
  6. Step 6: Final answer
    x = 1,231.25

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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.