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Finding the Fourth Proportional to 1,714.72, 2,367.50 and 1,315.69

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Solution

The fourth proportional to 1,714.72, 2,367.50 and 1,315.69 is: 1,816.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.72 : 2,367.50 = 1,315.69 : x
  2. Step 2: Convert to fraction form
    1,714.72/2,367.50 = 1,315.69/x
  3. Step 3: Cross multiply
    1,714.72x = 2,367.50 × 1,315.69
  4. Step 4: Simplify right side
    1,714.72x = 3,114,896.08
  5. Step 5: Solve for x
    x = 3,114,896.08/1,714.72
  6. Step 6: Final answer
    x = 1,816.56

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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.