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Finding the Fourth Proportional to 1,810.59, 2,698.41 and 1,774.14

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Solution

The fourth proportional to 1,810.59, 2,698.41 and 1,774.14 is: 2,644.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.59 : 2,698.41 = 1,774.14 : x
  2. Step 2: Convert to fraction form
    1,810.59/2,698.41 = 1,774.14/x
  3. Step 3: Cross multiply
    1,810.59x = 2,698.41 × 1,774.14
  4. Step 4: Simplify right side
    1,810.59x = 4,787,357.12
  5. Step 5: Solve for x
    x = 4,787,357.12/1,810.59
  6. Step 6: Final answer
    x = 2,644.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.