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Finding the Fourth Proportional to 2,705.36, 4,058.04 and 1,166

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Solution

The fourth proportional to 2,705.36, 4,058.04 and 1,166 is: 1,749.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.36 : 4,058.04 = 1,166 : x
  2. Step 2: Convert to fraction form
    2,705.36/4,058.04 = 1,166/x
  3. Step 3: Cross multiply
    2,705.36x = 4,058.04 × 1,166
  4. Step 4: Simplify right side
    2,705.36x = 4,731,674.64
  5. Step 5: Solve for x
    x = 4,731,674.64/2,705.36
  6. Step 6: Final answer
    x = 1,749.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.