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Finding the Fourth Proportional to 2,034.16, 3,051.35 and 573.42

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Solution

The fourth proportional to 2,034.16, 3,051.35 and 573.42 is: 860.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.16 : 3,051.35 = 573.42 : x
  2. Step 2: Convert to fraction form
    2,034.16/3,051.35 = 573.42/x
  3. Step 3: Cross multiply
    2,034.16x = 3,051.35 × 573.42
  4. Step 4: Simplify right side
    2,034.16x = 1,749,715.84
  5. Step 5: Solve for x
    x = 1,749,715.84/2,034.16
  6. Step 6: Final answer
    x = 860.17

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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.