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Finding the Fourth Proportional to 1,830.15, 2,747.12 and 1,823.67

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Solution

The fourth proportional to 1,830.15, 2,747.12 and 1,823.67 is: 2,737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.15 : 2,747.12 = 1,823.67 : x
  2. Step 2: Convert to fraction form
    1,830.15/2,747.12 = 1,823.67/x
  3. Step 3: Cross multiply
    1,830.15x = 2,747.12 × 1,823.67
  4. Step 4: Simplify right side
    1,830.15x = 5,009,831.21
  5. Step 5: Solve for x
    x = 5,009,831.21/1,830.15
  6. Step 6: Final answer
    x = 2,737.39

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