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Finding the Fourth Proportional to 2,030.28, 3,041.36 and 933.14

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Solution

The fourth proportional to 2,030.28, 3,041.36 and 933.14 is: 1,397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.28 : 3,041.36 = 933.14 : x
  2. Step 2: Convert to fraction form
    2,030.28/3,041.36 = 933.14/x
  3. Step 3: Cross multiply
    2,030.28x = 3,041.36 × 933.14
  4. Step 4: Simplify right side
    2,030.28x = 2,838,014.67
  5. Step 5: Solve for x
    x = 2,838,014.67/2,030.28
  6. Step 6: Final answer
    x = 1,397.84

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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.