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Finding the Fourth Proportional to 2,831.56, 3,908 and 1,653.32

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Solution

The fourth proportional to 2,831.56, 3,908 and 1,653.32 is: 2,281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.56 : 3,908 = 1,653.32 : x
  2. Step 2: Convert to fraction form
    2,831.56/3,908 = 1,653.32/x
  3. Step 3: Cross multiply
    2,831.56x = 3,908 × 1,653.32
  4. Step 4: Simplify right side
    2,831.56x = 6,461,174.56
  5. Step 5: Solve for x
    x = 6,461,174.56/2,831.56
  6. Step 6: Final answer
    x = 2,281.84

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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.