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Finding the Fourth Proportional to 1,440.48, 2,160.45 and 400.26

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Solution

The fourth proportional to 1,440.48, 2,160.45 and 400.26 is: 600.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.48 : 2,160.45 = 400.26 : x
  2. Step 2: Convert to fraction form
    1,440.48/2,160.45 = 400.26/x
  3. Step 3: Cross multiply
    1,440.48x = 2,160.45 × 400.26
  4. Step 4: Simplify right side
    1,440.48x = 864,741.72
  5. Step 5: Solve for x
    x = 864,741.72/1,440.48
  6. Step 6: Final answer
    x = 600.31

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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.