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Finding the Fourth Proportional to 1,406.92, 1,941.42 and 882.04

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Solution

The fourth proportional to 1,406.92, 1,941.42 and 882.04 is: 1,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.92 : 1,941.42 = 882.04 : x
  2. Step 2: Convert to fraction form
    1,406.92/1,941.42 = 882.04/x
  3. Step 3: Cross multiply
    1,406.92x = 1,941.42 × 882.04
  4. Step 4: Simplify right side
    1,406.92x = 1,712,410.10
  5. Step 5: Solve for x
    x = 1,712,410.10/1,406.92
  6. Step 6: Final answer
    x = 1,217.13

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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.