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Finding the Fourth Proportional to 1,888.48, 2,831.28 and 1,157.68

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Solution

The fourth proportional to 1,888.48, 2,831.28 and 1,157.68 is: 1,735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.48 : 2,831.28 = 1,157.68 : x
  2. Step 2: Convert to fraction form
    1,888.48/2,831.28 = 1,157.68/x
  3. Step 3: Cross multiply
    1,888.48x = 2,831.28 × 1,157.68
  4. Step 4: Simplify right side
    1,888.48x = 3,277,716.23
  5. Step 5: Solve for x
    x = 3,277,716.23/1,888.48
  6. Step 6: Final answer
    x = 1,735.64

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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.