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Finding the Fourth Proportional to 2,051.56, 3,076.42 and 590.40

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Solution

The fourth proportional to 2,051.56, 3,076.42 and 590.40 is: 885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.56 : 3,076.42 = 590.40 : x
  2. Step 2: Convert to fraction form
    2,051.56/3,076.42 = 590.40/x
  3. Step 3: Cross multiply
    2,051.56x = 3,076.42 × 590.40
  4. Step 4: Simplify right side
    2,051.56x = 1,816,318.37
  5. Step 5: Solve for x
    x = 1,816,318.37/2,051.56
  6. Step 6: Final answer
    x = 885.34

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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.