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Finding the Fourth Proportional to 1,410.04, 1,941.54 and 1,016.32

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Solution

The fourth proportional to 1,410.04, 1,941.54 and 1,016.32 is: 1,399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.04 : 1,941.54 = 1,016.32 : x
  2. Step 2: Convert to fraction form
    1,410.04/1,941.54 = 1,016.32/x
  3. Step 3: Cross multiply
    1,410.04x = 1,941.54 × 1,016.32
  4. Step 4: Simplify right side
    1,410.04x = 1,973,225.93
  5. Step 5: Solve for x
    x = 1,973,225.93/1,410.04
  6. Step 6: Final answer
    x = 1,399.41

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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.