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Finding the Fourth Proportional to 1,390.96, 2,078.29 and 1,342.53

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Solution

The fourth proportional to 1,390.96, 2,078.29 and 1,342.53 is: 2,005.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.96 : 2,078.29 = 1,342.53 : x
  2. Step 2: Convert to fraction form
    1,390.96/2,078.29 = 1,342.53/x
  3. Step 3: Cross multiply
    1,390.96x = 2,078.29 × 1,342.53
  4. Step 4: Simplify right side
    1,390.96x = 2,790,166.67
  5. Step 5: Solve for x
    x = 2,790,166.67/1,390.96
  6. Step 6: Final answer
    x = 2,005.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.