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Finding the Fourth Proportional to 2,009.64, 3,014.86 and 712.02

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Solution

The fourth proportional to 2,009.64, 3,014.86 and 712.02 is: 1,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.64 : 3,014.86 = 712.02 : x
  2. Step 2: Convert to fraction form
    2,009.64/3,014.86 = 712.02/x
  3. Step 3: Cross multiply
    2,009.64x = 3,014.86 × 712.02
  4. Step 4: Simplify right side
    2,009.64x = 2,146,625.54
  5. Step 5: Solve for x
    x = 2,146,625.54/2,009.64
  6. Step 6: Final answer
    x = 1,068.17

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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.