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Finding the Fourth Proportional to 2,032.93, 3,048.25 and 646.01

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Solution

The fourth proportional to 2,032.93, 3,048.25 and 646.01 is: 968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.93 : 3,048.25 = 646.01 : x
  2. Step 2: Convert to fraction form
    2,032.93/3,048.25 = 646.01/x
  3. Step 3: Cross multiply
    2,032.93x = 3,048.25 × 646.01
  4. Step 4: Simplify right side
    2,032.93x = 1,969,199.98
  5. Step 5: Solve for x
    x = 1,969,199.98/2,032.93
  6. Step 6: Final answer
    x = 968.65

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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.