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Finding the Fourth Proportional to 1,678.18, 2,316.05 and 1,015.20

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Solution

The fourth proportional to 1,678.18, 2,316.05 and 1,015.20 is: 1,401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.18 : 2,316.05 = 1,015.20 : x
  2. Step 2: Convert to fraction form
    1,678.18/2,316.05 = 1,015.20/x
  3. Step 3: Cross multiply
    1,678.18x = 2,316.05 × 1,015.20
  4. Step 4: Simplify right side
    1,678.18x = 2,351,253.96
  5. Step 5: Solve for x
    x = 2,351,253.96/1,678.18
  6. Step 6: Final answer
    x = 1,401.07

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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.