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Finding the Fourth Proportional to 1,489.16, 2,054.70 and 899.48

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Solution

The fourth proportional to 1,489.16, 2,054.70 and 899.48 is: 1,241.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.16 : 2,054.70 = 899.48 : x
  2. Step 2: Convert to fraction form
    1,489.16/2,054.70 = 899.48/x
  3. Step 3: Cross multiply
    1,489.16x = 2,054.70 × 899.48
  4. Step 4: Simplify right side
    1,489.16x = 1,848,161.56
  5. Step 5: Solve for x
    x = 1,848,161.56/1,489.16
  6. Step 6: Final answer
    x = 1,241.08

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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.