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Finding the Fourth Proportional to 2,174.42, 2,995.71 and 1,784

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Solution

The fourth proportional to 2,174.42, 2,995.71 and 1,784 is: 2,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.42 : 2,995.71 = 1,784 : x
  2. Step 2: Convert to fraction form
    2,174.42/2,995.71 = 1,784/x
  3. Step 3: Cross multiply
    2,174.42x = 2,995.71 × 1,784
  4. Step 4: Simplify right side
    2,174.42x = 5,344,346.64
  5. Step 5: Solve for x
    x = 5,344,346.64/2,174.42
  6. Step 6: Final answer
    x = 2,457.83

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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.