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Finding the Fourth Proportional to 1,486.75, 2,051.82 and 897.25

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Solution

The fourth proportional to 1,486.75, 2,051.82 and 897.25 is: 1,238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.75 : 2,051.82 = 897.25 : x
  2. Step 2: Convert to fraction form
    1,486.75/2,051.82 = 897.25/x
  3. Step 3: Cross multiply
    1,486.75x = 2,051.82 × 897.25
  4. Step 4: Simplify right side
    1,486.75x = 1,840,995.50
  5. Step 5: Solve for x
    x = 1,840,995.50/1,486.75
  6. Step 6: Final answer
    x = 1,238.27

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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.