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Finding the Fourth Proportional to 1,554.84, 2,329.82 and 1,085.85

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Solution

The fourth proportional to 1,554.84, 2,329.82 and 1,085.85 is: 1,627.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.84 : 2,329.82 = 1,085.85 : x
  2. Step 2: Convert to fraction form
    1,554.84/2,329.82 = 1,085.85/x
  3. Step 3: Cross multiply
    1,554.84x = 2,329.82 × 1,085.85
  4. Step 4: Simplify right side
    1,554.84x = 2,529,835.05
  5. Step 5: Solve for x
    x = 2,529,835.05/1,554.84
  6. Step 6: Final answer
    x = 1,627.07

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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.