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Finding the Fourth Proportional to 1,895.68, 2,615.90 and 1,056.42

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Solution

The fourth proportional to 1,895.68, 2,615.90 and 1,056.42 is: 1,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.68 : 2,615.90 = 1,056.42 : x
  2. Step 2: Convert to fraction form
    1,895.68/2,615.90 = 1,056.42/x
  3. Step 3: Cross multiply
    1,895.68x = 2,615.90 × 1,056.42
  4. Step 4: Simplify right side
    1,895.68x = 2,763,476.44
  5. Step 5: Solve for x
    x = 2,763,476.44/1,895.68
  6. Step 6: Final answer
    x = 1,457.78

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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.