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Finding the Fourth Proportional to 1,730.84, 2,601.24 and 1,440.12

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Solution

The fourth proportional to 1,730.84, 2,601.24 and 1,440.12 is: 2,164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.84 : 2,601.24 = 1,440.12 : x
  2. Step 2: Convert to fraction form
    1,730.84/2,601.24 = 1,440.12/x
  3. Step 3: Cross multiply
    1,730.84x = 2,601.24 × 1,440.12
  4. Step 4: Simplify right side
    1,730.84x = 3,746,097.75
  5. Step 5: Solve for x
    x = 3,746,097.75/1,730.84
  6. Step 6: Final answer
    x = 2,164.32

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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.