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Finding the Fourth Proportional to 2,051.03, 3,071.09 and 1,075.09

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Solution

The fourth proportional to 2,051.03, 3,071.09 and 1,075.09 is: 1,609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.03 : 3,071.09 = 1,075.09 : x
  2. Step 2: Convert to fraction form
    2,051.03/3,071.09 = 1,075.09/x
  3. Step 3: Cross multiply
    2,051.03x = 3,071.09 × 1,075.09
  4. Step 4: Simplify right side
    2,051.03x = 3,301,685.09
  5. Step 5: Solve for x
    x = 3,301,685.09/2,051.03
  6. Step 6: Final answer
    x = 1,609.77

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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.