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Finding the Fourth Proportional to 1,670.45, 2,305.41 and 971.82

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Solution

The fourth proportional to 1,670.45, 2,305.41 and 971.82 is: 1,341.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.45 : 2,305.41 = 971.82 : x
  2. Step 2: Convert to fraction form
    1,670.45/2,305.41 = 971.82/x
  3. Step 3: Cross multiply
    1,670.45x = 2,305.41 × 971.82
  4. Step 4: Simplify right side
    1,670.45x = 2,240,443.55
  5. Step 5: Solve for x
    x = 2,240,443.55/1,670.45
  6. Step 6: Final answer
    x = 1,341.23

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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.