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Finding the Fourth Proportional to 2,991.78, 4,465.08 and 2,914.02

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Solution

The fourth proportional to 2,991.78, 4,465.08 and 2,914.02 is: 4,349.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.78 : 4,465.08 = 2,914.02 : x
  2. Step 2: Convert to fraction form
    2,991.78/4,465.08 = 2,914.02/x
  3. Step 3: Cross multiply
    2,991.78x = 4,465.08 × 2,914.02
  4. Step 4: Simplify right side
    2,991.78x = 13,011,332.42
  5. Step 5: Solve for x
    x = 13,011,332.42/2,991.78
  6. Step 6: Final answer
    x = 4,349.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.