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Finding the Fourth Proportional to 1,855.14, 2,562 and 1,697.20

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Solution

The fourth proportional to 1,855.14, 2,562 and 1,697.20 is: 2,343.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.14 : 2,562 = 1,697.20 : x
  2. Step 2: Convert to fraction form
    1,855.14/2,562 = 1,697.20/x
  3. Step 3: Cross multiply
    1,855.14x = 2,562 × 1,697.20
  4. Step 4: Simplify right side
    1,855.14x = 4,348,226.40
  5. Step 5: Solve for x
    x = 4,348,226.40/1,855.14
  6. Step 6: Final answer
    x = 2,343.88

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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.