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Finding the Fourth Proportional to 1,885.34, 2,828.04 and 715.22

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Solution

The fourth proportional to 1,885.34, 2,828.04 and 715.22 is: 1,072.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.34 : 2,828.04 = 715.22 : x
  2. Step 2: Convert to fraction form
    1,885.34/2,828.04 = 715.22/x
  3. Step 3: Cross multiply
    1,885.34x = 2,828.04 × 715.22
  4. Step 4: Simplify right side
    1,885.34x = 2,022,670.77
  5. Step 5: Solve for x
    x = 2,022,670.77/1,885.34
  6. Step 6: Final answer
    x = 1,072.84

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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.