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Finding the Fourth Proportional to 2,499, 3,743.64 and 2,310

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Solution

The fourth proportional to 2,499, 3,743.64 and 2,310 is: 3,460.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499 : 3,743.64 = 2,310 : x
  2. Step 2: Convert to fraction form
    2,499/3,743.64 = 2,310/x
  3. Step 3: Cross multiply
    2,499x = 3,743.64 × 2,310
  4. Step 4: Simplify right side
    2,499x = 8,647,808.40
  5. Step 5: Solve for x
    x = 8,647,808.40/2,499
  6. Step 6: Final answer
    x = 3,460.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.