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Finding the Fourth Proportional to 1,584.96, 2,388.36 and 1,510.80

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Solution

The fourth proportional to 1,584.96, 2,388.36 and 1,510.80 is: 2,276.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.96 : 2,388.36 = 1,510.80 : x
  2. Step 2: Convert to fraction form
    1,584.96/2,388.36 = 1,510.80/x
  3. Step 3: Cross multiply
    1,584.96x = 2,388.36 × 1,510.80
  4. Step 4: Simplify right side
    1,584.96x = 3,608,334.29
  5. Step 5: Solve for x
    x = 3,608,334.29/1,584.96
  6. Step 6: Final answer
    x = 2,276.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.