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Finding the Fourth Proportional to 1,786.32, 2,459.06 and 1,536.18

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Solution

The fourth proportional to 1,786.32, 2,459.06 and 1,536.18 is: 2,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.32 : 2,459.06 = 1,536.18 : x
  2. Step 2: Convert to fraction form
    1,786.32/2,459.06 = 1,536.18/x
  3. Step 3: Cross multiply
    1,786.32x = 2,459.06 × 1,536.18
  4. Step 4: Simplify right side
    1,786.32x = 3,777,558.79
  5. Step 5: Solve for x
    x = 3,777,558.79/1,786.32
  6. Step 6: Final answer
    x = 2,114.72

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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.