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Finding the Fourth Proportional to 1,440.09, 2,160.32 and 618.48

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Solution

The fourth proportional to 1,440.09, 2,160.32 and 618.48 is: 927.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.09 : 2,160.32 = 618.48 : x
  2. Step 2: Convert to fraction form
    1,440.09/2,160.32 = 618.48/x
  3. Step 3: Cross multiply
    1,440.09x = 2,160.32 × 618.48
  4. Step 4: Simplify right side
    1,440.09x = 1,336,111.62
  5. Step 5: Solve for x
    x = 1,336,111.62/1,440.09
  6. Step 6: Final answer
    x = 927.80

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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.