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Finding the Fourth Proportional to 1,907.67, 2,862.59 and 881.67

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Solution

The fourth proportional to 1,907.67, 2,862.59 and 881.67 is: 1,323.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.67 : 2,862.59 = 881.67 : x
  2. Step 2: Convert to fraction form
    1,907.67/2,862.59 = 881.67/x
  3. Step 3: Cross multiply
    1,907.67x = 2,862.59 × 881.67
  4. Step 4: Simplify right side
    1,907.67x = 2,523,864.68
  5. Step 5: Solve for x
    x = 2,523,864.68/1,907.67
  6. Step 6: Final answer
    x = 1,323.01

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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.