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Finding the Fourth Proportional to 2,510.95, 3,465.24 and 1,516.30

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Solution

The fourth proportional to 2,510.95, 3,465.24 and 1,516.30 is: 2,092.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.95 : 3,465.24 = 1,516.30 : x
  2. Step 2: Convert to fraction form
    2,510.95/3,465.24 = 1,516.30/x
  3. Step 3: Cross multiply
    2,510.95x = 3,465.24 × 1,516.30
  4. Step 4: Simplify right side
    2,510.95x = 5,254,343.41
  5. Step 5: Solve for x
    x = 5,254,343.41/2,510.95
  6. Step 6: Final answer
    x = 2,092.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.