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Finding the Fourth Proportional to 1,639.70, 2,262.78 and 976.58

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Solution

The fourth proportional to 1,639.70, 2,262.78 and 976.58 is: 1,347.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.70 : 2,262.78 = 976.58 : x
  2. Step 2: Convert to fraction form
    1,639.70/2,262.78 = 976.58/x
  3. Step 3: Cross multiply
    1,639.70x = 2,262.78 × 976.58
  4. Step 4: Simplify right side
    1,639.70x = 2,209,782.86
  5. Step 5: Solve for x
    x = 2,209,782.86/1,639.70
  6. Step 6: Final answer
    x = 1,347.68

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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.