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Finding the Fourth Proportional to 1,577.54, 2,181.06 and 1,508.66

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Solution

The fourth proportional to 1,577.54, 2,181.06 and 1,508.66 is: 2,085.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.54 : 2,181.06 = 1,508.66 : x
  2. Step 2: Convert to fraction form
    1,577.54/2,181.06 = 1,508.66/x
  3. Step 3: Cross multiply
    1,577.54x = 2,181.06 × 1,508.66
  4. Step 4: Simplify right side
    1,577.54x = 3,290,477.98
  5. Step 5: Solve for x
    x = 3,290,477.98/1,577.54
  6. Step 6: Final answer
    x = 2,085.83

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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.