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Finding the Fourth Proportional to 2,128.65, 3,188.33 and 1,510.47

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Solution

The fourth proportional to 2,128.65, 3,188.33 and 1,510.47 is: 2,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.65 : 3,188.33 = 1,510.47 : x
  2. Step 2: Convert to fraction form
    2,128.65/3,188.33 = 1,510.47/x
  3. Step 3: Cross multiply
    2,128.65x = 3,188.33 × 1,510.47
  4. Step 4: Simplify right side
    2,128.65x = 4,815,869.26
  5. Step 5: Solve for x
    x = 4,815,869.26/2,128.65
  6. Step 6: Final answer
    x = 2,262.41

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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.