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Finding the Fourth Proportional to 3,025.40, 4,538.10 and 945.32

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Solution

The fourth proportional to 3,025.40, 4,538.10 and 945.32 is: 1,417.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.40 : 4,538.10 = 945.32 : x
  2. Step 2: Convert to fraction form
    3,025.40/4,538.10 = 945.32/x
  3. Step 3: Cross multiply
    3,025.40x = 4,538.10 × 945.32
  4. Step 4: Simplify right side
    3,025.40x = 4,289,956.69
  5. Step 5: Solve for x
    x = 4,289,956.69/3,025.40
  6. Step 6: Final answer
    x = 1,417.98

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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.