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Finding the Fourth Proportional to 2,370.24, 3,555.36 and 830.88

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Solution

The fourth proportional to 2,370.24, 3,555.36 and 830.88 is: 1,246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.24 : 3,555.36 = 830.88 : x
  2. Step 2: Convert to fraction form
    2,370.24/3,555.36 = 830.88/x
  3. Step 3: Cross multiply
    2,370.24x = 3,555.36 × 830.88
  4. Step 4: Simplify right side
    2,370.24x = 2,954,077.52
  5. Step 5: Solve for x
    x = 2,954,077.52/2,370.24
  6. Step 6: Final answer
    x = 1,246.32

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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.