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Finding the Fourth Proportional to 1,804.92, 2,707.10 and 1,498.74

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Solution

The fourth proportional to 1,804.92, 2,707.10 and 1,498.74 is: 2,247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.92 : 2,707.10 = 1,498.74 : x
  2. Step 2: Convert to fraction form
    1,804.92/2,707.10 = 1,498.74/x
  3. Step 3: Cross multiply
    1,804.92x = 2,707.10 × 1,498.74
  4. Step 4: Simplify right side
    1,804.92x = 4,057,235.46
  5. Step 5: Solve for x
    x = 4,057,235.46/1,804.92
  6. Step 6: Final answer
    x = 2,247.88

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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.