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Finding the Fourth Proportional to 2,031.48, 3,049.07 and 1,510.25

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Solution

The fourth proportional to 2,031.48, 3,049.07 and 1,510.25 is: 2,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.48 : 3,049.07 = 1,510.25 : x
  2. Step 2: Convert to fraction form
    2,031.48/3,049.07 = 1,510.25/x
  3. Step 3: Cross multiply
    2,031.48x = 3,049.07 × 1,510.25
  4. Step 4: Simplify right side
    2,031.48x = 4,604,835.17
  5. Step 5: Solve for x
    x = 4,604,835.17/2,031.48
  6. Step 6: Final answer
    x = 2,266.74

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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.