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Finding the Fourth Proportional to 1,885.12, 2,828.06 and 586.64

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Solution

The fourth proportional to 1,885.12, 2,828.06 and 586.64 is: 880.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.12 : 2,828.06 = 586.64 : x
  2. Step 2: Convert to fraction form
    1,885.12/2,828.06 = 586.64/x
  3. Step 3: Cross multiply
    1,885.12x = 2,828.06 × 586.64
  4. Step 4: Simplify right side
    1,885.12x = 1,659,053.12
  5. Step 5: Solve for x
    x = 1,659,053.12/1,885.12
  6. Step 6: Final answer
    x = 880.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.