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Finding the Fourth Proportional to 1,854.51, 2,780.88 and 684.21

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Solution

The fourth proportional to 1,854.51, 2,780.88 and 684.21 is: 1,025.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.51 : 2,780.88 = 684.21 : x
  2. Step 2: Convert to fraction form
    1,854.51/2,780.88 = 684.21/x
  3. Step 3: Cross multiply
    1,854.51x = 2,780.88 × 684.21
  4. Step 4: Simplify right side
    1,854.51x = 1,902,705.90
  5. Step 5: Solve for x
    x = 1,902,705.90/1,854.51
  6. Step 6: Final answer
    x = 1,025.99

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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.