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Finding the Fourth Proportional to 1,416.24, 1,953.24 and 892.08

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Solution

The fourth proportional to 1,416.24, 1,953.24 and 892.08 is: 1,230.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.24 : 1,953.24 = 892.08 : x
  2. Step 2: Convert to fraction form
    1,416.24/1,953.24 = 892.08/x
  3. Step 3: Cross multiply
    1,416.24x = 1,953.24 × 892.08
  4. Step 4: Simplify right side
    1,416.24x = 1,742,446.34
  5. Step 5: Solve for x
    x = 1,742,446.34/1,416.24
  6. Step 6: Final answer
    x = 1,230.33

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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.