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Finding the Fourth Proportional to 1,488.50, 2,054.41 and 859.43

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Solution

The fourth proportional to 1,488.50, 2,054.41 and 859.43 is: 1,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.50 : 2,054.41 = 859.43 : x
  2. Step 2: Convert to fraction form
    1,488.50/2,054.41 = 859.43/x
  3. Step 3: Cross multiply
    1,488.50x = 2,054.41 × 859.43
  4. Step 4: Simplify right side
    1,488.50x = 1,765,607.02
  5. Step 5: Solve for x
    x = 1,765,607.02/1,488.50
  6. Step 6: Final answer
    x = 1,186.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.