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Finding the Fourth Proportional to 1,421.61, 2,131.71 and 497.22

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Solution

The fourth proportional to 1,421.61, 2,131.71 and 497.22 is: 745.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.61 : 2,131.71 = 497.22 : x
  2. Step 2: Convert to fraction form
    1,421.61/2,131.71 = 497.22/x
  3. Step 3: Cross multiply
    1,421.61x = 2,131.71 × 497.22
  4. Step 4: Simplify right side
    1,421.61x = 1,059,928.85
  5. Step 5: Solve for x
    x = 1,059,928.85/1,421.61
  6. Step 6: Final answer
    x = 745.58

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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.