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Finding the Fourth Proportional to 2,202.57, 3,302.63 and 1,510.02

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Solution

The fourth proportional to 2,202.57, 3,302.63 and 1,510.02 is: 2,264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.57 : 3,302.63 = 1,510.02 : x
  2. Step 2: Convert to fraction form
    2,202.57/3,302.63 = 1,510.02/x
  3. Step 3: Cross multiply
    2,202.57x = 3,302.63 × 1,510.02
  4. Step 4: Simplify right side
    2,202.57x = 4,987,029.80
  5. Step 5: Solve for x
    x = 4,987,029.80/2,202.57
  6. Step 6: Final answer
    x = 2,264.19

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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.