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Finding the Fourth Proportional to 1,893.95, 2,613.56 and 1,054.59

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Solution

The fourth proportional to 1,893.95, 2,613.56 and 1,054.59 is: 1,455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.95 : 2,613.56 = 1,054.59 : x
  2. Step 2: Convert to fraction form
    1,893.95/2,613.56 = 1,054.59/x
  3. Step 3: Cross multiply
    1,893.95x = 2,613.56 × 1,054.59
  4. Step 4: Simplify right side
    1,893.95x = 2,756,234.24
  5. Step 5: Solve for x
    x = 2,756,234.24/1,893.95
  6. Step 6: Final answer
    x = 1,455.28

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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.