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Finding the Fourth Proportional to 2,831.55, 3,907.57 and 1,652.39

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Solution

The fourth proportional to 2,831.55, 3,907.57 and 1,652.39 is: 2,280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.55 : 3,907.57 = 1,652.39 : x
  2. Step 2: Convert to fraction form
    2,831.55/3,907.57 = 1,652.39/x
  3. Step 3: Cross multiply
    2,831.55x = 3,907.57 × 1,652.39
  4. Step 4: Simplify right side
    2,831.55x = 6,456,831.10
  5. Step 5: Solve for x
    x = 6,456,831.10/2,831.55
  6. Step 6: Final answer
    x = 2,280.32

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Why These Related Problems?

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