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Finding the Fourth Proportional to 1,715.21, 2,366.99 and 929.25

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Solution

The fourth proportional to 1,715.21, 2,366.99 and 929.25 is: 1,282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.21 : 2,366.99 = 929.25 : x
  2. Step 2: Convert to fraction form
    1,715.21/2,366.99 = 929.25/x
  3. Step 3: Cross multiply
    1,715.21x = 2,366.99 × 929.25
  4. Step 4: Simplify right side
    1,715.21x = 2,199,524.30
  5. Step 5: Solve for x
    x = 2,199,524.30/1,715.21
  6. Step 6: Final answer
    x = 1,282.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.