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Finding the Fourth Proportional to 2,009.94, 3,014.01 and 776.40

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Solution

The fourth proportional to 2,009.94, 3,014.01 and 776.40 is: 1,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.94 : 3,014.01 = 776.40 : x
  2. Step 2: Convert to fraction form
    2,009.94/3,014.01 = 776.40/x
  3. Step 3: Cross multiply
    2,009.94x = 3,014.01 × 776.40
  4. Step 4: Simplify right side
    2,009.94x = 2,340,077.36
  5. Step 5: Solve for x
    x = 2,340,077.36/2,009.94
  6. Step 6: Final answer
    x = 1,164.25

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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.