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Finding the Fourth Proportional to 2,802.68, 4,200.17 and 1,416.95

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Solution

The fourth proportional to 2,802.68, 4,200.17 and 1,416.95 is: 2,123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.68 : 4,200.17 = 1,416.95 : x
  2. Step 2: Convert to fraction form
    2,802.68/4,200.17 = 1,416.95/x
  3. Step 3: Cross multiply
    2,802.68x = 4,200.17 × 1,416.95
  4. Step 4: Simplify right side
    2,802.68x = 5,951,409.88
  5. Step 5: Solve for x
    x = 5,951,409.88/2,802.68
  6. Step 6: Final answer
    x = 2,123.47

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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.