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Finding the Fourth Proportional to 2,035.16, 3,051.36 and 648.08

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Solution

The fourth proportional to 2,035.16, 3,051.36 and 648.08 is: 971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.16 : 3,051.36 = 648.08 : x
  2. Step 2: Convert to fraction form
    2,035.16/3,051.36 = 648.08/x
  3. Step 3: Cross multiply
    2,035.16x = 3,051.36 × 648.08
  4. Step 4: Simplify right side
    2,035.16x = 1,977,525.39
  5. Step 5: Solve for x
    x = 1,977,525.39/2,035.16
  6. Step 6: Final answer
    x = 971.68

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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.