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Finding the Fourth Proportional to 3,141.04, 4,712.80 and 1,409.28

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Solution

The fourth proportional to 3,141.04, 4,712.80 and 1,409.28 is: 2,114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.04 : 4,712.80 = 1,409.28 : x
  2. Step 2: Convert to fraction form
    3,141.04/4,712.80 = 1,409.28/x
  3. Step 3: Cross multiply
    3,141.04x = 4,712.80 × 1,409.28
  4. Step 4: Simplify right side
    3,141.04x = 6,641,654.78
  5. Step 5: Solve for x
    x = 6,641,654.78/3,141.04
  6. Step 6: Final answer
    x = 2,114.48

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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.