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Finding the Fourth Proportional to 2,400.18, 3,600.27 and 840.16

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Solution

The fourth proportional to 2,400.18, 3,600.27 and 840.16 is: 1,260.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.18 : 3,600.27 = 840.16 : x
  2. Step 2: Convert to fraction form
    2,400.18/3,600.27 = 840.16/x
  3. Step 3: Cross multiply
    2,400.18x = 3,600.27 × 840.16
  4. Step 4: Simplify right side
    2,400.18x = 3,024,802.84
  5. Step 5: Solve for x
    x = 3,024,802.84/2,400.18
  6. Step 6: Final answer
    x = 1,260.24

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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.