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Finding the Fourth Proportional to 1,762.36, 2,642.02 and 667.51

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Solution

The fourth proportional to 1,762.36, 2,642.02 and 667.51 is: 1,000.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.36 : 2,642.02 = 667.51 : x
  2. Step 2: Convert to fraction form
    1,762.36/2,642.02 = 667.51/x
  3. Step 3: Cross multiply
    1,762.36x = 2,642.02 × 667.51
  4. Step 4: Simplify right side
    1,762.36x = 1,763,566.50
  5. Step 5: Solve for x
    x = 1,763,566.50/1,762.36
  6. Step 6: Final answer
    x = 1,000.69

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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.