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Finding the Fourth Proportional to 1,410.72, 1,942.64 and 1,017.04

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Solution

The fourth proportional to 1,410.72, 1,942.64 and 1,017.04 is: 1,400.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.72 : 1,942.64 = 1,017.04 : x
  2. Step 2: Convert to fraction form
    1,410.72/1,942.64 = 1,017.04/x
  3. Step 3: Cross multiply
    1,410.72x = 1,942.64 × 1,017.04
  4. Step 4: Simplify right side
    1,410.72x = 1,975,742.59
  5. Step 5: Solve for x
    x = 1,975,742.59/1,410.72
  6. Step 6: Final answer
    x = 1,400.52

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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.