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Finding the Fourth Proportional to 2,499.81, 3,746.13 and 1,836.48

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Solution

The fourth proportional to 2,499.81, 3,746.13 and 1,836.48 is: 2,752.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.81 : 3,746.13 = 1,836.48 : x
  2. Step 2: Convert to fraction form
    2,499.81/3,746.13 = 1,836.48/x
  3. Step 3: Cross multiply
    2,499.81x = 3,746.13 × 1,836.48
  4. Step 4: Simplify right side
    2,499.81x = 6,879,699.71
  5. Step 5: Solve for x
    x = 6,879,699.71/2,499.81
  6. Step 6: Final answer
    x = 2,752.09

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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.