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Finding the Fourth Proportional to 1,510.07, 2,265.05 and 414.41

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Solution

The fourth proportional to 1,510.07, 2,265.05 and 414.41 is: 621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.07 : 2,265.05 = 414.41 : x
  2. Step 2: Convert to fraction form
    1,510.07/2,265.05 = 414.41/x
  3. Step 3: Cross multiply
    1,510.07x = 2,265.05 × 414.41
  4. Step 4: Simplify right side
    1,510.07x = 938,645.97
  5. Step 5: Solve for x
    x = 938,645.97/1,510.07
  6. Step 6: Final answer
    x = 621.59

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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.