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Finding the Fourth Proportional to 2,994.71, 4,132.70 and 1,736.00

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Solution

The fourth proportional to 2,994.71, 4,132.70 and 1,736.00 is: 2,395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.71 : 4,132.70 = 1,736.00 : x
  2. Step 2: Convert to fraction form
    2,994.71/4,132.70 = 1,736.00/x
  3. Step 3: Cross multiply
    2,994.71x = 4,132.70 × 1,736.00
  4. Step 4: Simplify right side
    2,994.71x = 7,174,368.85
  5. Step 5: Solve for x
    x = 7,174,368.85/2,994.71
  6. Step 6: Final answer
    x = 2,395.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.