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Finding the Fourth Proportional to 3,000.98, 4,496.72 and 1,831.50

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Solution

The fourth proportional to 3,000.98, 4,496.72 and 1,831.50 is: 2,744.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.98 : 4,496.72 = 1,831.50 : x
  2. Step 2: Convert to fraction form
    3,000.98/4,496.72 = 1,831.50/x
  3. Step 3: Cross multiply
    3,000.98x = 4,496.72 × 1,831.50
  4. Step 4: Simplify right side
    3,000.98x = 8,235,733.52
  5. Step 5: Solve for x
    x = 8,235,733.52/3,000.98
  6. Step 6: Final answer
    x = 2,744.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.