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Finding the Fourth Proportional to 1,775.67, 2,658.03 and 1,158.05

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Solution

The fourth proportional to 1,775.67, 2,658.03 and 1,158.05 is: 1,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.67 : 2,658.03 = 1,158.05 : x
  2. Step 2: Convert to fraction form
    1,775.67/2,658.03 = 1,158.05/x
  3. Step 3: Cross multiply
    1,775.67x = 2,658.03 × 1,158.05
  4. Step 4: Simplify right side
    1,775.67x = 3,078,131.64
  5. Step 5: Solve for x
    x = 3,078,131.64/1,775.67
  6. Step 6: Final answer
    x = 1,733.50

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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.