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Finding the Fourth Proportional to 1,730.47, 2,388.74 and 1,170.67

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Solution

The fourth proportional to 1,730.47, 2,388.74 and 1,170.67 is: 1,615.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.47 : 2,388.74 = 1,170.67 : x
  2. Step 2: Convert to fraction form
    1,730.47/2,388.74 = 1,170.67/x
  3. Step 3: Cross multiply
    1,730.47x = 2,388.74 × 1,170.67
  4. Step 4: Simplify right side
    1,730.47x = 2,796,426.26
  5. Step 5: Solve for x
    x = 2,796,426.26/1,730.47
  6. Step 6: Final answer
    x = 1,615.99

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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.