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Finding the Fourth Proportional to 2,775.62, 3,831.93 and 1,845.38

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Solution

The fourth proportional to 2,775.62, 3,831.93 and 1,845.38 is: 2,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.62 : 3,831.93 = 1,845.38 : x
  2. Step 2: Convert to fraction form
    2,775.62/3,831.93 = 1,845.38/x
  3. Step 3: Cross multiply
    2,775.62x = 3,831.93 × 1,845.38
  4. Step 4: Simplify right side
    2,775.62x = 7,071,366.98
  5. Step 5: Solve for x
    x = 7,071,366.98/2,775.62
  6. Step 6: Final answer
    x = 2,547.67

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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.