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Finding the Fourth Proportional to 1,510.27, 2,265.36 and 730.33

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Solution

The fourth proportional to 1,510.27, 2,265.36 and 730.33 is: 1,095.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.27 : 2,265.36 = 730.33 : x
  2. Step 2: Convert to fraction form
    1,510.27/2,265.36 = 730.33/x
  3. Step 3: Cross multiply
    1,510.27x = 2,265.36 × 730.33
  4. Step 4: Simplify right side
    1,510.27x = 1,654,460.37
  5. Step 5: Solve for x
    x = 1,654,460.37/1,510.27
  6. Step 6: Final answer
    x = 1,095.47

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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.