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Finding the Fourth Proportional to 1,639.63, 2,262.70 and 976.51

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Solution

The fourth proportional to 1,639.63, 2,262.70 and 976.51 is: 1,347.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.63 : 2,262.70 = 976.51 : x
  2. Step 2: Convert to fraction form
    1,639.63/2,262.70 = 976.51/x
  3. Step 3: Cross multiply
    1,639.63x = 2,262.70 × 976.51
  4. Step 4: Simplify right side
    1,639.63x = 2,209,549.18
  5. Step 5: Solve for x
    x = 2,209,549.18/1,639.63
  6. Step 6: Final answer
    x = 1,347.59

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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.