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Finding the Fourth Proportional to 1,827.10, 2,739.30 and 948.34

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Solution

The fourth proportional to 1,827.10, 2,739.30 and 948.34 is: 1,421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.10 : 2,739.30 = 948.34 : x
  2. Step 2: Convert to fraction form
    1,827.10/2,739.30 = 948.34/x
  3. Step 3: Cross multiply
    1,827.10x = 2,739.30 × 948.34
  4. Step 4: Simplify right side
    1,827.10x = 2,597,787.76
  5. Step 5: Solve for x
    x = 2,597,787.76/1,827.10
  6. Step 6: Final answer
    x = 1,421.81

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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.