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Finding the Fourth Proportional to 2,010.16, 3,014.90 and 777.38

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Solution

The fourth proportional to 2,010.16, 3,014.90 and 777.38 is: 1,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.16 : 3,014.90 = 777.38 : x
  2. Step 2: Convert to fraction form
    2,010.16/3,014.90 = 777.38/x
  3. Step 3: Cross multiply
    2,010.16x = 3,014.90 × 777.38
  4. Step 4: Simplify right side
    2,010.16x = 2,343,722.96
  5. Step 5: Solve for x
    x = 2,343,722.96/2,010.16
  6. Step 6: Final answer
    x = 1,165.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.