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Finding the Fourth Proportional to 1,460.94, 2,180.99 and 1,409.67

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Solution

The fourth proportional to 1,460.94, 2,180.99 and 1,409.67 is: 2,104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.94 : 2,180.99 = 1,409.67 : x
  2. Step 2: Convert to fraction form
    1,460.94/2,180.99 = 1,409.67/x
  3. Step 3: Cross multiply
    1,460.94x = 2,180.99 × 1,409.67
  4. Step 4: Simplify right side
    1,460.94x = 3,074,479.70
  5. Step 5: Solve for x
    x = 3,074,479.70/1,460.94
  6. Step 6: Final answer
    x = 2,104.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.