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Finding the Fourth Proportional to 1,388.53, 2,081.76 and 840.58

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Solution

The fourth proportional to 1,388.53, 2,081.76 and 840.58 is: 1,260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.53 : 2,081.76 = 840.58 : x
  2. Step 2: Convert to fraction form
    1,388.53/2,081.76 = 840.58/x
  3. Step 3: Cross multiply
    1,388.53x = 2,081.76 × 840.58
  4. Step 4: Simplify right side
    1,388.53x = 1,749,888.42
  5. Step 5: Solve for x
    x = 1,749,888.42/1,388.53
  6. Step 6: Final answer
    x = 1,260.25

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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.