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Finding the Fourth Proportional to 2,470.83, 3,703.07 and 1,849.67

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Solution

The fourth proportional to 2,470.83, 3,703.07 and 1,849.67 is: 2,772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.83 : 3,703.07 = 1,849.67 : x
  2. Step 2: Convert to fraction form
    2,470.83/3,703.07 = 1,849.67/x
  3. Step 3: Cross multiply
    2,470.83x = 3,703.07 × 1,849.67
  4. Step 4: Simplify right side
    2,470.83x = 6,849,429.72
  5. Step 5: Solve for x
    x = 6,849,429.72/2,470.83
  6. Step 6: Final answer
    x = 2,772.12

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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.