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Finding the Fourth Proportional to 2,106.35, 3,160.04 and 1,514.03

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Solution

The fourth proportional to 2,106.35, 3,160.04 and 1,514.03 is: 2,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.35 : 3,160.04 = 1,514.03 : x
  2. Step 2: Convert to fraction form
    2,106.35/3,160.04 = 1,514.03/x
  3. Step 3: Cross multiply
    2,106.35x = 3,160.04 × 1,514.03
  4. Step 4: Simplify right side
    2,106.35x = 4,784,395.69
  5. Step 5: Solve for x
    x = 4,784,395.69/2,106.35
  6. Step 6: Final answer
    x = 2,271.42

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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.