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Finding the Fourth Proportional to 2,106.63, 2,903.13 and 1,516.14

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Solution

The fourth proportional to 2,106.63, 2,903.13 and 1,516.14 is: 2,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.63 : 2,903.13 = 1,516.14 : x
  2. Step 2: Convert to fraction form
    2,106.63/2,903.13 = 1,516.14/x
  3. Step 3: Cross multiply
    2,106.63x = 2,903.13 × 1,516.14
  4. Step 4: Simplify right side
    2,106.63x = 4,401,551.52
  5. Step 5: Solve for x
    x = 4,401,551.52/2,106.63
  6. Step 6: Final answer
    x = 2,089.38

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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.