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Finding the Fourth Proportional to 2,898.84, 4,331.76 and 2,833.20

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Solution

The fourth proportional to 2,898.84, 4,331.76 and 2,833.20 is: 4,233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.84 : 4,331.76 = 2,833.20 : x
  2. Step 2: Convert to fraction form
    2,898.84/4,331.76 = 2,833.20/x
  3. Step 3: Cross multiply
    2,898.84x = 4,331.76 × 2,833.20
  4. Step 4: Simplify right side
    2,898.84x = 12,272,742.43
  5. Step 5: Solve for x
    x = 12,272,742.43/2,898.84
  6. Step 6: Final answer
    x = 4,233.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.