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Finding the Fourth Proportional to 2,400.34, 3,600.27 and 840.05

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Solution

The fourth proportional to 2,400.34, 3,600.27 and 840.05 is: 1,260.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.34 : 3,600.27 = 840.05 : x
  2. Step 2: Convert to fraction form
    2,400.34/3,600.27 = 840.05/x
  3. Step 3: Cross multiply
    2,400.34x = 3,600.27 × 840.05
  4. Step 4: Simplify right side
    2,400.34x = 3,024,415.81
  5. Step 5: Solve for x
    x = 3,024,415.81/2,400.34
  6. Step 6: Final answer
    x = 1,260.00

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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.