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Finding the Fourth Proportional to 2,695.66, 3,714.06 and 2,225.05

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Solution

The fourth proportional to 2,695.66, 3,714.06 and 2,225.05 is: 3,065.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.66 : 3,714.06 = 2,225.05 : x
  2. Step 2: Convert to fraction form
    2,695.66/3,714.06 = 2,225.05/x
  3. Step 3: Cross multiply
    2,695.66x = 3,714.06 × 2,225.05
  4. Step 4: Simplify right side
    2,695.66x = 8,263,969.20
  5. Step 5: Solve for x
    x = 8,263,969.20/2,695.66
  6. Step 6: Final answer
    x = 3,065.66

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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.