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Finding the Fourth Proportional to 2,034.03, 3,051.35 and 646.96

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Solution

The fourth proportional to 2,034.03, 3,051.35 and 646.96 is: 970.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.03 : 3,051.35 = 646.96 : x
  2. Step 2: Convert to fraction form
    2,034.03/3,051.35 = 646.96/x
  3. Step 3: Cross multiply
    2,034.03x = 3,051.35 × 646.96
  4. Step 4: Simplify right side
    2,034.03x = 1,974,102.32
  5. Step 5: Solve for x
    x = 1,974,102.32/2,034.03
  6. Step 6: Final answer
    x = 970.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.