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Finding the Fourth Proportional to 2,109.93, 2,911.32 and 1,482.38

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Solution

The fourth proportional to 2,109.93, 2,911.32 and 1,482.38 is: 2,045.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.93 : 2,911.32 = 1,482.38 : x
  2. Step 2: Convert to fraction form
    2,109.93/2,911.32 = 1,482.38/x
  3. Step 3: Cross multiply
    2,109.93x = 2,911.32 × 1,482.38
  4. Step 4: Simplify right side
    2,109.93x = 4,315,667.99
  5. Step 5: Solve for x
    x = 4,315,667.99/2,109.93
  6. Step 6: Final answer
    x = 2,045.41

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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.