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Finding the Fourth Proportional to 2,370.12, 3,555.24 and 909.40

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Solution

The fourth proportional to 2,370.12, 3,555.24 and 909.40 is: 1,364.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.12 : 3,555.24 = 909.40 : x
  2. Step 2: Convert to fraction form
    2,370.12/3,555.24 = 909.40/x
  3. Step 3: Cross multiply
    2,370.12x = 3,555.24 × 909.40
  4. Step 4: Simplify right side
    2,370.12x = 3,233,135.26
  5. Step 5: Solve for x
    x = 3,233,135.26/2,370.12
  6. Step 6: Final answer
    x = 1,364.12

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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.