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Finding the Fourth Proportional to 1,388.06, 2,078.30 and 976.58

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Solution

The fourth proportional to 1,388.06, 2,078.30 and 976.58 is: 1,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.06 : 2,078.30 = 976.58 : x
  2. Step 2: Convert to fraction form
    1,388.06/2,078.30 = 976.58/x
  3. Step 3: Cross multiply
    1,388.06x = 2,078.30 × 976.58
  4. Step 4: Simplify right side
    1,388.06x = 2,029,618.26
  5. Step 5: Solve for x
    x = 2,029,618.26/1,388.06
  6. Step 6: Final answer
    x = 1,462.20

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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.