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Finding the Fourth Proportional to 1,567.39, 2,158.07 and 1,330.84

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Solution

The fourth proportional to 1,567.39, 2,158.07 and 1,330.84 is: 1,832.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.39 : 2,158.07 = 1,330.84 : x
  2. Step 2: Convert to fraction form
    1,567.39/2,158.07 = 1,330.84/x
  3. Step 3: Cross multiply
    1,567.39x = 2,158.07 × 1,330.84
  4. Step 4: Simplify right side
    1,567.39x = 2,872,045.88
  5. Step 5: Solve for x
    x = 2,872,045.88/1,567.39
  6. Step 6: Final answer
    x = 1,832.37

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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.