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Finding the Fourth Proportional to 1,878.36, 2,592.90 and 1,215.24

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Solution

The fourth proportional to 1,878.36, 2,592.90 and 1,215.24 is: 1,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.36 : 2,592.90 = 1,215.24 : x
  2. Step 2: Convert to fraction form
    1,878.36/2,592.90 = 1,215.24/x
  3. Step 3: Cross multiply
    1,878.36x = 2,592.90 × 1,215.24
  4. Step 4: Simplify right side
    1,878.36x = 3,150,995.80
  5. Step 5: Solve for x
    x = 3,150,995.80/1,878.36
  6. Step 6: Final answer
    x = 1,677.52

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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.