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Finding the Fourth Proportional to 2,009.95, 3,015.43 and 777.03

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Solution

The fourth proportional to 2,009.95, 3,015.43 and 777.03 is: 1,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.95 : 3,015.43 = 777.03 : x
  2. Step 2: Convert to fraction form
    2,009.95/3,015.43 = 777.03/x
  3. Step 3: Cross multiply
    2,009.95x = 3,015.43 × 777.03
  4. Step 4: Simplify right side
    2,009.95x = 2,343,066.32
  5. Step 5: Solve for x
    x = 2,343,066.32/2,009.95
  6. Step 6: Final answer
    x = 1,165.74

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Why These Related Problems?

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