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Finding the Fourth Proportional to 1,762.48, 2,433.36 and 1,099.60

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Solution

The fourth proportional to 1,762.48, 2,433.36 and 1,099.60 is: 1,518.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.48 : 2,433.36 = 1,099.60 : x
  2. Step 2: Convert to fraction form
    1,762.48/2,433.36 = 1,099.60/x
  3. Step 3: Cross multiply
    1,762.48x = 2,433.36 × 1,099.60
  4. Step 4: Simplify right side
    1,762.48x = 2,675,722.66
  5. Step 5: Solve for x
    x = 2,675,722.66/1,762.48
  6. Step 6: Final answer
    x = 1,518.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.