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Finding the Fourth Proportional to 2,037.81, 3,051.81 and 1,411.38

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Solution

The fourth proportional to 2,037.81, 3,051.81 and 1,411.38 is: 2,113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.81 : 3,051.81 = 1,411.38 : x
  2. Step 2: Convert to fraction form
    2,037.81/3,051.81 = 1,411.38/x
  3. Step 3: Cross multiply
    2,037.81x = 3,051.81 × 1,411.38
  4. Step 4: Simplify right side
    2,037.81x = 4,307,263.60
  5. Step 5: Solve for x
    x = 4,307,263.60/2,037.81
  6. Step 6: Final answer
    x = 2,113.67

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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.