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Finding the Fourth Proportional to 2,042.84, 2,808.25 and 1,758.20

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Solution

The fourth proportional to 2,042.84, 2,808.25 and 1,758.20 is: 2,416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.84 : 2,808.25 = 1,758.20 : x
  2. Step 2: Convert to fraction form
    2,042.84/2,808.25 = 1,758.20/x
  3. Step 3: Cross multiply
    2,042.84x = 2,808.25 × 1,758.20
  4. Step 4: Simplify right side
    2,042.84x = 4,937,465.15
  5. Step 5: Solve for x
    x = 4,937,465.15/2,042.84
  6. Step 6: Final answer
    x = 2,416.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.