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Finding the Fourth Proportional to 1,459.09, 2,013.36 and 861.51

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Solution

The fourth proportional to 1,459.09, 2,013.36 and 861.51 is: 1,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.09 : 2,013.36 = 861.51 : x
  2. Step 2: Convert to fraction form
    1,459.09/2,013.36 = 861.51/x
  3. Step 3: Cross multiply
    1,459.09x = 2,013.36 × 861.51
  4. Step 4: Simplify right side
    1,459.09x = 1,734,529.77
  5. Step 5: Solve for x
    x = 1,734,529.77/1,459.09
  6. Step 6: Final answer
    x = 1,188.78

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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.