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Finding the Fourth Proportional to 1,614.49, 2,421.64 and 574.45

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Solution

The fourth proportional to 1,614.49, 2,421.64 and 574.45 is: 861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.49 : 2,421.64 = 574.45 : x
  2. Step 2: Convert to fraction form
    1,614.49/2,421.64 = 574.45/x
  3. Step 3: Cross multiply
    1,614.49x = 2,421.64 × 574.45
  4. Step 4: Simplify right side
    1,614.49x = 1,391,111.10
  5. Step 5: Solve for x
    x = 1,391,111.10/1,614.49
  6. Step 6: Final answer
    x = 861.64

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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.