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Finding the Fourth Proportional to 1,705.01, 2,352.12 and 1,107.47

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Solution

The fourth proportional to 1,705.01, 2,352.12 and 1,107.47 is: 1,527.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.01 : 2,352.12 = 1,107.47 : x
  2. Step 2: Convert to fraction form
    1,705.01/2,352.12 = 1,107.47/x
  3. Step 3: Cross multiply
    1,705.01x = 2,352.12 × 1,107.47
  4. Step 4: Simplify right side
    1,705.01x = 2,604,893.34
  5. Step 5: Solve for x
    x = 2,604,893.34/1,705.01
  6. Step 6: Final answer
    x = 1,527.79

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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.