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Finding the Fourth Proportional to 2,051.60, 3,077.94 and 590.87

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Solution

The fourth proportional to 2,051.60, 3,077.94 and 590.87 is: 886.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.60 : 3,077.94 = 590.87 : x
  2. Step 2: Convert to fraction form
    2,051.60/3,077.94 = 590.87/x
  3. Step 3: Cross multiply
    2,051.60x = 3,077.94 × 590.87
  4. Step 4: Simplify right side
    2,051.60x = 1,818,662.41
  5. Step 5: Solve for x
    x = 1,818,662.41/2,051.60
  6. Step 6: Final answer
    x = 886.46

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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.