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Finding the Fourth Proportional to 1,795.40, 2,477.94 and 1,678.28

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Solution

The fourth proportional to 1,795.40, 2,477.94 and 1,678.28 is: 2,316.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.40 : 2,477.94 = 1,678.28 : x
  2. Step 2: Convert to fraction form
    1,795.40/2,477.94 = 1,678.28/x
  3. Step 3: Cross multiply
    1,795.40x = 2,477.94 × 1,678.28
  4. Step 4: Simplify right side
    1,795.40x = 4,158,677.14
  5. Step 5: Solve for x
    x = 4,158,677.14/1,795.40
  6. Step 6: Final answer
    x = 2,316.30

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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.