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Finding the Fourth Proportional to 2,085.86, 3,111.13 and 1,809.76

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Solution

The fourth proportional to 2,085.86, 3,111.13 and 1,809.76 is: 2,699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.86 : 3,111.13 = 1,809.76 : x
  2. Step 2: Convert to fraction form
    2,085.86/3,111.13 = 1,809.76/x
  3. Step 3: Cross multiply
    2,085.86x = 3,111.13 × 1,809.76
  4. Step 4: Simplify right side
    2,085.86x = 5,630,398.63
  5. Step 5: Solve for x
    x = 5,630,398.63/2,085.86
  6. Step 6: Final answer
    x = 2,699.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.