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Finding the Fourth Proportional to 1,607.15, 2,410.72 and 1,284.56

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Solution

The fourth proportional to 1,607.15, 2,410.72 and 1,284.56 is: 1,926.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.15 : 2,410.72 = 1,284.56 : x
  2. Step 2: Convert to fraction form
    1,607.15/2,410.72 = 1,284.56/x
  3. Step 3: Cross multiply
    1,607.15x = 2,410.72 × 1,284.56
  4. Step 4: Simplify right side
    1,607.15x = 3,096,714.48
  5. Step 5: Solve for x
    x = 3,096,714.48/1,607.15
  6. Step 6: Final answer
    x = 1,926.84

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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.