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Finding the Fourth Proportional to 2,209.97, 3,051.59 and 1,503.32

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Solution

The fourth proportional to 2,209.97, 3,051.59 and 1,503.32 is: 2,075.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.97 : 3,051.59 = 1,503.32 : x
  2. Step 2: Convert to fraction form
    2,209.97/3,051.59 = 1,503.32/x
  3. Step 3: Cross multiply
    2,209.97x = 3,051.59 × 1,503.32
  4. Step 4: Simplify right side
    2,209.97x = 4,587,493.50
  5. Step 5: Solve for x
    x = 4,587,493.50/2,209.97
  6. Step 6: Final answer
    x = 2,075.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.