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Finding the Fourth Proportional to 1,703.68, 2,553.60 and 1,317.76

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Solution

The fourth proportional to 1,703.68, 2,553.60 and 1,317.76 is: 1,975.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.68 : 2,553.60 = 1,317.76 : x
  2. Step 2: Convert to fraction form
    1,703.68/2,553.60 = 1,317.76/x
  3. Step 3: Cross multiply
    1,703.68x = 2,553.60 × 1,317.76
  4. Step 4: Simplify right side
    1,703.68x = 3,365,031.94
  5. Step 5: Solve for x
    x = 3,365,031.94/1,703.68
  6. Step 6: Final answer
    x = 1,975.15

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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.