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Finding the Fourth Proportional to 2,470.68, 3,702.83 and 1,083.65

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Solution

The fourth proportional to 2,470.68, 3,702.83 and 1,083.65 is: 1,624.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.68 : 3,702.83 = 1,083.65 : x
  2. Step 2: Convert to fraction form
    2,470.68/3,702.83 = 1,083.65/x
  3. Step 3: Cross multiply
    2,470.68x = 3,702.83 × 1,083.65
  4. Step 4: Simplify right side
    2,470.68x = 4,012,547.80
  5. Step 5: Solve for x
    x = 4,012,547.80/2,470.68
  6. Step 6: Final answer
    x = 1,624.07

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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.