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Finding the Fourth Proportional to 1,886.56, 2,828.72 and 846.56

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Solution

The fourth proportional to 1,886.56, 2,828.72 and 846.56 is: 1,269.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.56 : 2,828.72 = 846.56 : x
  2. Step 2: Convert to fraction form
    1,886.56/2,828.72 = 846.56/x
  3. Step 3: Cross multiply
    1,886.56x = 2,828.72 × 846.56
  4. Step 4: Simplify right side
    1,886.56x = 2,394,681.20
  5. Step 5: Solve for x
    x = 2,394,681.20/1,886.56
  6. Step 6: Final answer
    x = 1,269.34

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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.