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Finding the Fourth Proportional to 1,510.73, 2,264.71 and 1,120.25

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Solution

The fourth proportional to 1,510.73, 2,264.71 and 1,120.25 is: 1,679.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.73 : 2,264.71 = 1,120.25 : x
  2. Step 2: Convert to fraction form
    1,510.73/2,264.71 = 1,120.25/x
  3. Step 3: Cross multiply
    1,510.73x = 2,264.71 × 1,120.25
  4. Step 4: Simplify right side
    1,510.73x = 2,537,044.24
  5. Step 5: Solve for x
    x = 2,537,044.24/1,510.73
  6. Step 6: Final answer
    x = 1,679.36

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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.