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Finding the Fourth Proportional to 2,374.08, 3,564.20 and 1,826.66

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Solution

The fourth proportional to 2,374.08, 3,564.20 and 1,826.66 is: 2,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.08 : 3,564.20 = 1,826.66 : x
  2. Step 2: Convert to fraction form
    2,374.08/3,564.20 = 1,826.66/x
  3. Step 3: Cross multiply
    2,374.08x = 3,564.20 × 1,826.66
  4. Step 4: Simplify right side
    2,374.08x = 6,510,581.57
  5. Step 5: Solve for x
    x = 6,510,581.57/2,374.08
  6. Step 6: Final answer
    x = 2,742.36

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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.