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Finding the Fourth Proportional to 1,929.53, 2,894.30 and 1,281.53

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Solution

The fourth proportional to 1,929.53, 2,894.30 and 1,281.53 is: 1,922.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.53 : 2,894.30 = 1,281.53 : x
  2. Step 2: Convert to fraction form
    1,929.53/2,894.30 = 1,281.53/x
  3. Step 3: Cross multiply
    1,929.53x = 2,894.30 × 1,281.53
  4. Step 4: Simplify right side
    1,929.53x = 3,709,125.87
  5. Step 5: Solve for x
    x = 3,709,125.87/1,929.53
  6. Step 6: Final answer
    x = 1,922.30

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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.