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Finding the Fourth Proportional to 1,929.96, 2,894.78 and 1,065

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Solution

The fourth proportional to 1,929.96, 2,894.78 and 1,065 is: 1,597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.96 : 2,894.78 = 1,065 : x
  2. Step 2: Convert to fraction form
    1,929.96/2,894.78 = 1,065/x
  3. Step 3: Cross multiply
    1,929.96x = 2,894.78 × 1,065
  4. Step 4: Simplify right side
    1,929.96x = 3,082,940.70
  5. Step 5: Solve for x
    x = 3,082,940.70/1,929.96
  6. Step 6: Final answer
    x = 1,597.41

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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.