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Finding the Fourth Proportional to 1,715.85, 2,366.09 and 1,467.99

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Solution

The fourth proportional to 1,715.85, 2,366.09 and 1,467.99 is: 2,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.85 : 2,366.09 = 1,467.99 : x
  2. Step 2: Convert to fraction form
    1,715.85/2,366.09 = 1,467.99/x
  3. Step 3: Cross multiply
    1,715.85x = 2,366.09 × 1,467.99
  4. Step 4: Simplify right side
    1,715.85x = 3,473,400.13
  5. Step 5: Solve for x
    x = 3,473,400.13/1,715.85
  6. Step 6: Final answer
    x = 2,024.30

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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.