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Finding the Fourth Proportional to 2,370.32, 3,551.64 and 1,674.32

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Solution

The fourth proportional to 2,370.32, 3,551.64 and 1,674.32 is: 2,508.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.32 : 3,551.64 = 1,674.32 : x
  2. Step 2: Convert to fraction form
    2,370.32/3,551.64 = 1,674.32/x
  3. Step 3: Cross multiply
    2,370.32x = 3,551.64 × 1,674.32
  4. Step 4: Simplify right side
    2,370.32x = 5,946,581.88
  5. Step 5: Solve for x
    x = 5,946,581.88/2,370.32
  6. Step 6: Final answer
    x = 2,508.77

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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.