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Finding the Fourth Proportional to 2,831.58, 3,907.61 and 1,652.42

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Solution

The fourth proportional to 2,831.58, 3,907.61 and 1,652.42 is: 2,280.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.58 : 3,907.61 = 1,652.42 : x
  2. Step 2: Convert to fraction form
    2,831.58/3,907.61 = 1,652.42/x
  3. Step 3: Cross multiply
    2,831.58x = 3,907.61 × 1,652.42
  4. Step 4: Simplify right side
    2,831.58x = 6,457,004.65
  5. Step 5: Solve for x
    x = 6,457,004.65/2,831.58
  6. Step 6: Final answer
    x = 2,280.35

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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.