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Finding the Fourth Proportional to 2,831.52, 3,907.71 and 1,652.34

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Solution

The fourth proportional to 2,831.52, 3,907.71 and 1,652.34 is: 2,280.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.52 : 3,907.71 = 1,652.34 : x
  2. Step 2: Convert to fraction form
    2,831.52/3,907.71 = 1,652.34/x
  3. Step 3: Cross multiply
    2,831.52x = 3,907.71 × 1,652.34
  4. Step 4: Simplify right side
    2,831.52x = 6,456,865.54
  5. Step 5: Solve for x
    x = 6,456,865.54/2,831.52
  6. Step 6: Final answer
    x = 2,280.35

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1.5x scale

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.