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Finding the Fourth Proportional to 2,955.14, 4,432.67 and 903.14

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Solution

The fourth proportional to 2,955.14, 4,432.67 and 903.14 is: 1,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.14 : 4,432.67 = 903.14 : x
  2. Step 2: Convert to fraction form
    2,955.14/4,432.67 = 903.14/x
  3. Step 3: Cross multiply
    2,955.14x = 4,432.67 × 903.14
  4. Step 4: Simplify right side
    2,955.14x = 4,003,321.58
  5. Step 5: Solve for x
    x = 4,003,321.58/2,955.14
  6. Step 6: Final answer
    x = 1,354.70

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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.