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Finding the Fourth Proportional to 1,678.40, 2,314.77 and 1,259.73

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Solution

The fourth proportional to 1,678.40, 2,314.77 and 1,259.73 is: 1,737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.40 : 2,314.77 = 1,259.73 : x
  2. Step 2: Convert to fraction form
    1,678.40/2,314.77 = 1,259.73/x
  3. Step 3: Cross multiply
    1,678.40x = 2,314.77 × 1,259.73
  4. Step 4: Simplify right side
    1,678.40x = 2,915,985.21
  5. Step 5: Solve for x
    x = 2,915,985.21/1,678.40
  6. Step 6: Final answer
    x = 1,737.36

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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.