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Finding the Fourth Proportional to 2,051.38, 3,077.04 and 590.53

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Solution

The fourth proportional to 2,051.38, 3,077.04 and 590.53 is: 885.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.38 : 3,077.04 = 590.53 : x
  2. Step 2: Convert to fraction form
    2,051.38/3,077.04 = 590.53/x
  3. Step 3: Cross multiply
    2,051.38x = 3,077.04 × 590.53
  4. Step 4: Simplify right side
    2,051.38x = 1,817,084.43
  5. Step 5: Solve for x
    x = 1,817,084.43/2,051.38
  6. Step 6: Final answer
    x = 885.79

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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.