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Finding the Fourth Proportional to 2,705.44, 4,058.08 and 2,339.16

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Solution

The fourth proportional to 2,705.44, 4,058.08 and 2,339.16 is: 3,508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.44 : 4,058.08 = 2,339.16 : x
  2. Step 2: Convert to fraction form
    2,705.44/4,058.08 = 2,339.16/x
  3. Step 3: Cross multiply
    2,705.44x = 4,058.08 × 2,339.16
  4. Step 4: Simplify right side
    2,705.44x = 9,492,498.41
  5. Step 5: Solve for x
    x = 9,492,498.41/2,705.44
  6. Step 6: Final answer
    x = 3,508.67

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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.