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Finding the Fourth Proportional to 2,075.58, 3,118.23 and 1,783.98

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Solution

The fourth proportional to 2,075.58, 3,118.23 and 1,783.98 is: 2,680.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.58 : 3,118.23 = 1,783.98 : x
  2. Step 2: Convert to fraction form
    2,075.58/3,118.23 = 1,783.98/x
  3. Step 3: Cross multiply
    2,075.58x = 3,118.23 × 1,783.98
  4. Step 4: Simplify right side
    2,075.58x = 5,562,859.96
  5. Step 5: Solve for x
    x = 5,562,859.96/2,075.58
  6. Step 6: Final answer
    x = 2,680.15

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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.