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Finding the Fourth Proportional to 2,051.77, 3,077.19 and 590.60

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Solution

The fourth proportional to 2,051.77, 3,077.19 and 590.60 is: 885.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.77 : 3,077.19 = 590.60 : x
  2. Step 2: Convert to fraction form
    2,051.77/3,077.19 = 590.60/x
  3. Step 3: Cross multiply
    2,051.77x = 3,077.19 × 590.60
  4. Step 4: Simplify right side
    2,051.77x = 1,817,388.41
  5. Step 5: Solve for x
    x = 1,817,388.41/2,051.77
  6. Step 6: Final answer
    x = 885.77

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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.