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Finding the Fourth Proportional to 2,054.62, 3,075.18 and 1,857.70

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Solution

The fourth proportional to 2,054.62, 3,075.18 and 1,857.70 is: 2,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.62 : 3,075.18 = 1,857.70 : x
  2. Step 2: Convert to fraction form
    2,054.62/3,075.18 = 1,857.70/x
  3. Step 3: Cross multiply
    2,054.62x = 3,075.18 × 1,857.70
  4. Step 4: Simplify right side
    2,054.62x = 5,712,761.89
  5. Step 5: Solve for x
    x = 5,712,761.89/2,054.62
  6. Step 6: Final answer
    x = 2,780.45

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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.