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Finding the Fourth Proportional to 1,688.60, 2,529.78 and 1,416.44

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Solution

The fourth proportional to 1,688.60, 2,529.78 and 1,416.44 is: 2,122.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.60 : 2,529.78 = 1,416.44 : x
  2. Step 2: Convert to fraction form
    1,688.60/2,529.78 = 1,416.44/x
  3. Step 3: Cross multiply
    1,688.60x = 2,529.78 × 1,416.44
  4. Step 4: Simplify right side
    1,688.60x = 3,583,281.58
  5. Step 5: Solve for x
    x = 3,583,281.58/1,688.60
  6. Step 6: Final answer
    x = 2,122.04

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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.