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Finding the Fourth Proportional to 2,030.81, 3,045.75 and 934.12

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Solution

The fourth proportional to 2,030.81, 3,045.75 and 934.12 is: 1,400.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.81 : 3,045.75 = 934.12 : x
  2. Step 2: Convert to fraction form
    2,030.81/3,045.75 = 934.12/x
  3. Step 3: Cross multiply
    2,030.81x = 3,045.75 × 934.12
  4. Step 4: Simplify right side
    2,030.81x = 2,845,089.97
  5. Step 5: Solve for x
    x = 2,845,089.97/2,030.81
  6. Step 6: Final answer
    x = 1,400.97

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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.