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Finding the Fourth Proportional to 2,051.52, 3,077.46 and 646.26

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Solution

The fourth proportional to 2,051.52, 3,077.46 and 646.26 is: 969.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.52 : 3,077.46 = 646.26 : x
  2. Step 2: Convert to fraction form
    2,051.52/3,077.46 = 646.26/x
  3. Step 3: Cross multiply
    2,051.52x = 3,077.46 × 646.26
  4. Step 4: Simplify right side
    2,051.52x = 1,988,836.07
  5. Step 5: Solve for x
    x = 1,988,836.07/2,051.52
  6. Step 6: Final answer
    x = 969.45

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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.