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Finding the Fourth Proportional to 1,458.93, 2,186.77 and 581.20

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Solution

The fourth proportional to 1,458.93, 2,186.77 and 581.20 is: 871.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.93 : 2,186.77 = 581.20 : x
  2. Step 2: Convert to fraction form
    1,458.93/2,186.77 = 581.20/x
  3. Step 3: Cross multiply
    1,458.93x = 2,186.77 × 581.20
  4. Step 4: Simplify right side
    1,458.93x = 1,270,950.72
  5. Step 5: Solve for x
    x = 1,270,950.72/1,458.93
  6. Step 6: Final answer
    x = 871.15

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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.