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Finding the Fourth Proportional to 2,030.09, 3,045.15 and 643.43

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Solution

The fourth proportional to 2,030.09, 3,045.15 and 643.43 is: 965.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.09 : 3,045.15 = 643.43 : x
  2. Step 2: Convert to fraction form
    2,030.09/3,045.15 = 643.43/x
  3. Step 3: Cross multiply
    2,030.09x = 3,045.15 × 643.43
  4. Step 4: Simplify right side
    2,030.09x = 1,959,340.86
  5. Step 5: Solve for x
    x = 1,959,340.86/2,030.09
  6. Step 6: Final answer
    x = 965.15

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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.