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Finding the Fourth Proportional to 1,886.30, 2,828.55 and 846.31

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Solution

The fourth proportional to 1,886.30, 2,828.55 and 846.31 is: 1,269.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.30 : 2,828.55 = 846.31 : x
  2. Step 2: Convert to fraction form
    1,886.30/2,828.55 = 846.31/x
  3. Step 3: Cross multiply
    1,886.30x = 2,828.55 × 846.31
  4. Step 4: Simplify right side
    1,886.30x = 2,393,830.15
  5. Step 5: Solve for x
    x = 2,393,830.15/1,886.30
  6. Step 6: Final answer
    x = 1,269.06

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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.