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Finding the Fourth Proportional to 3,071.64, 4,235.51 and 2,075.19

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Solution

The fourth proportional to 3,071.64, 4,235.51 and 2,075.19 is: 2,861.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.64 : 4,235.51 = 2,075.19 : x
  2. Step 2: Convert to fraction form
    3,071.64/4,235.51 = 2,075.19/x
  3. Step 3: Cross multiply
    3,071.64x = 4,235.51 × 2,075.19
  4. Step 4: Simplify right side
    3,071.64x = 8,789,466.82
  5. Step 5: Solve for x
    x = 8,789,466.82/3,071.64
  6. Step 6: Final answer
    x = 2,861.49

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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.