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Finding the Fourth Proportional to 2,051.93, 3,077.26 and 590.69

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Solution

The fourth proportional to 2,051.93, 3,077.26 and 590.69 is: 885.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.93 : 3,077.26 = 590.69 : x
  2. Step 2: Convert to fraction form
    2,051.93/3,077.26 = 590.69/x
  3. Step 3: Cross multiply
    2,051.93x = 3,077.26 × 590.69
  4. Step 4: Simplify right side
    2,051.93x = 1,817,703.76
  5. Step 5: Solve for x
    x = 1,817,703.76/2,051.93
  6. Step 6: Final answer
    x = 885.85

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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.