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Finding the Fourth Proportional to 1,897.92, 2,619 and 1,505.88

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Solution

The fourth proportional to 1,897.92, 2,619 and 1,505.88 is: 2,078.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.92 : 2,619 = 1,505.88 : x
  2. Step 2: Convert to fraction form
    1,897.92/2,619 = 1,505.88/x
  3. Step 3: Cross multiply
    1,897.92x = 2,619 × 1,505.88
  4. Step 4: Simplify right side
    1,897.92x = 3,943,899.72
  5. Step 5: Solve for x
    x = 3,943,899.72/1,897.92
  6. Step 6: Final answer
    x = 2,078.01

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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.