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Finding the Fourth Proportional to 1,703.53, 2,556.51 and 1,154.35

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Solution

The fourth proportional to 1,703.53, 2,556.51 and 1,154.35 is: 1,732.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.53 : 2,556.51 = 1,154.35 : x
  2. Step 2: Convert to fraction form
    1,703.53/2,556.51 = 1,154.35/x
  3. Step 3: Cross multiply
    1,703.53x = 2,556.51 × 1,154.35
  4. Step 4: Simplify right side
    1,703.53x = 2,951,107.32
  5. Step 5: Solve for x
    x = 2,951,107.32/1,703.53
  6. Step 6: Final answer
    x = 1,732.35

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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.