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Finding the Fourth Proportional to 2,071.95, 2,859.22 and 1,514.77

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Solution

The fourth proportional to 2,071.95, 2,859.22 and 1,514.77 is: 2,090.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.95 : 2,859.22 = 1,514.77 : x
  2. Step 2: Convert to fraction form
    2,071.95/2,859.22 = 1,514.77/x
  3. Step 3: Cross multiply
    2,071.95x = 2,859.22 × 1,514.77
  4. Step 4: Simplify right side
    2,071.95x = 4,331,055.42
  5. Step 5: Solve for x
    x = 4,331,055.42/2,071.95
  6. Step 6: Final answer
    x = 2,090.33

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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.