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Finding the Fourth Proportional to 1,758.65, 2,425.05 and 1,582.34

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Solution

The fourth proportional to 1,758.65, 2,425.05 and 1,582.34 is: 2,181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.65 : 2,425.05 = 1,582.34 : x
  2. Step 2: Convert to fraction form
    1,758.65/2,425.05 = 1,582.34/x
  3. Step 3: Cross multiply
    1,758.65x = 2,425.05 × 1,582.34
  4. Step 4: Simplify right side
    1,758.65x = 3,837,241.49
  5. Step 5: Solve for x
    x = 3,837,241.49/1,758.65
  6. Step 6: Final answer
    x = 2,181.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.