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Finding the Fourth Proportional to 1,523.04, 2,101.83 and 859.83

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Solution

The fourth proportional to 1,523.04, 2,101.83 and 859.83 is: 1,186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.04 : 2,101.83 = 859.83 : x
  2. Step 2: Convert to fraction form
    1,523.04/2,101.83 = 859.83/x
  3. Step 3: Cross multiply
    1,523.04x = 2,101.83 × 859.83
  4. Step 4: Simplify right side
    1,523.04x = 1,807,216.49
  5. Step 5: Solve for x
    x = 1,807,216.49/1,523.04
  6. Step 6: Final answer
    x = 1,186.59

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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.