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Finding the Fourth Proportional to 2,900.40, 4,002.56 and 2,236

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Solution

The fourth proportional to 2,900.40, 4,002.56 and 2,236 is: 3,085.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.40 : 4,002.56 = 2,236 : x
  2. Step 2: Convert to fraction form
    2,900.40/4,002.56 = 2,236/x
  3. Step 3: Cross multiply
    2,900.40x = 4,002.56 × 2,236
  4. Step 4: Simplify right side
    2,900.40x = 8,949,724.16
  5. Step 5: Solve for x
    x = 8,949,724.16/2,900.40
  6. Step 6: Final answer
    x = 3,085.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.