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Finding the Fourth Proportional to 2,705.34, 4,058.10 and 974.10

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Solution

The fourth proportional to 2,705.34, 4,058.10 and 974.10 is: 1,461.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.34 : 4,058.10 = 974.10 : x
  2. Step 2: Convert to fraction form
    2,705.34/4,058.10 = 974.10/x
  3. Step 3: Cross multiply
    2,705.34x = 4,058.10 × 974.10
  4. Step 4: Simplify right side
    2,705.34x = 3,952,995.21
  5. Step 5: Solve for x
    x = 3,952,995.21/2,705.34
  6. Step 6: Final answer
    x = 1,461.18

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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.