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Finding the Fourth Proportional to 1,891.88, 2,838.90 and 1,026.26

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Solution

The fourth proportional to 1,891.88, 2,838.90 and 1,026.26 is: 1,539.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.88 : 2,838.90 = 1,026.26 : x
  2. Step 2: Convert to fraction form
    1,891.88/2,838.90 = 1,026.26/x
  3. Step 3: Cross multiply
    1,891.88x = 2,838.90 × 1,026.26
  4. Step 4: Simplify right side
    1,891.88x = 2,913,449.51
  5. Step 5: Solve for x
    x = 2,913,449.51/1,891.88
  6. Step 6: Final answer
    x = 1,539.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.