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Finding the Fourth Proportional to 1,834.88, 2,532.80 and 1,214.08

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Solution

The fourth proportional to 1,834.88, 2,532.80 and 1,214.08 is: 1,675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.88 : 2,532.80 = 1,214.08 : x
  2. Step 2: Convert to fraction form
    1,834.88/2,532.80 = 1,214.08/x
  3. Step 3: Cross multiply
    1,834.88x = 2,532.80 × 1,214.08
  4. Step 4: Simplify right side
    1,834.88x = 3,075,021.82
  5. Step 5: Solve for x
    x = 3,075,021.82/1,834.88
  6. Step 6: Final answer
    x = 1,675.87

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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.