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Finding the Fourth Proportional to 1,678.20, 2,315.56 and 1,015.20

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Solution

The fourth proportional to 1,678.20, 2,315.56 and 1,015.20 is: 1,400.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.20 : 2,315.56 = 1,015.20 : x
  2. Step 2: Convert to fraction form
    1,678.20/2,315.56 = 1,015.20/x
  3. Step 3: Cross multiply
    1,678.20x = 2,315.56 × 1,015.20
  4. Step 4: Simplify right side
    1,678.20x = 2,350,756.51
  5. Step 5: Solve for x
    x = 2,350,756.51/1,678.20
  6. Step 6: Final answer
    x = 1,400.76

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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.