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Finding the Fourth Proportional to 1,772.51, 2,658.90 and 540.03

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Solution

The fourth proportional to 1,772.51, 2,658.90 and 540.03 is: 810.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.51 : 2,658.90 = 540.03 : x
  2. Step 2: Convert to fraction form
    1,772.51/2,658.90 = 540.03/x
  3. Step 3: Cross multiply
    1,772.51x = 2,658.90 × 540.03
  4. Step 4: Simplify right side
    1,772.51x = 1,435,872.47
  5. Step 5: Solve for x
    x = 1,435,872.47/1,772.51
  6. Step 6: Final answer
    x = 810.08

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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.