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Finding the Fourth Proportional to 2,510.24, 3,737.24 and 2,498.08

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Solution

The fourth proportional to 2,510.24, 3,737.24 and 2,498.08 is: 3,719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.24 : 3,737.24 = 2,498.08 : x
  2. Step 2: Convert to fraction form
    2,510.24/3,737.24 = 2,498.08/x
  3. Step 3: Cross multiply
    2,510.24x = 3,737.24 × 2,498.08
  4. Step 4: Simplify right side
    2,510.24x = 9,335,924.50
  5. Step 5: Solve for x
    x = 9,335,924.50/2,510.24
  6. Step 6: Final answer
    x = 3,719.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.