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Finding the Fourth Proportional to 1,826.56, 2,740.52 and 948.51

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Solution

The fourth proportional to 1,826.56, 2,740.52 and 948.51 is: 1,423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.56 : 2,740.52 = 948.51 : x
  2. Step 2: Convert to fraction form
    1,826.56/2,740.52 = 948.51/x
  3. Step 3: Cross multiply
    1,826.56x = 2,740.52 × 948.51
  4. Step 4: Simplify right side
    1,826.56x = 2,599,419.85
  5. Step 5: Solve for x
    x = 2,599,419.85/1,826.56
  6. Step 6: Final answer
    x = 1,423.12

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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.