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Finding the Fourth Proportional to 1,895.36, 2,615.49 and 1,056.14

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Solution

The fourth proportional to 1,895.36, 2,615.49 and 1,056.14 is: 1,457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.36 : 2,615.49 = 1,056.14 : x
  2. Step 2: Convert to fraction form
    1,895.36/2,615.49 = 1,056.14/x
  3. Step 3: Cross multiply
    1,895.36x = 2,615.49 × 1,056.14
  4. Step 4: Simplify right side
    1,895.36x = 2,762,310.53
  5. Step 5: Solve for x
    x = 2,762,310.53/1,895.36
  6. Step 6: Final answer
    x = 1,457.41

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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.