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Finding the Fourth Proportional to 1,881.78, 2,596.95 and 1,095.90

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Solution

The fourth proportional to 1,881.78, 2,596.95 and 1,095.90 is: 1,512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.78 : 2,596.95 = 1,095.90 : x
  2. Step 2: Convert to fraction form
    1,881.78/2,596.95 = 1,095.90/x
  3. Step 3: Cross multiply
    1,881.78x = 2,596.95 × 1,095.90
  4. Step 4: Simplify right side
    1,881.78x = 2,845,997.51
  5. Step 5: Solve for x
    x = 2,845,997.51/1,881.78
  6. Step 6: Final answer
    x = 1,512.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.