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Finding the Fourth Proportional to 1,413, 2,122.26 and 1,195.53

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Solution

The fourth proportional to 1,413, 2,122.26 and 1,195.53 is: 1,795.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413 : 2,122.26 = 1,195.53 : x
  2. Step 2: Convert to fraction form
    1,413/2,122.26 = 1,195.53/x
  3. Step 3: Cross multiply
    1,413x = 2,122.26 × 1,195.53
  4. Step 4: Simplify right side
    1,413x = 2,537,225.50
  5. Step 5: Solve for x
    x = 2,537,225.50/1,413
  6. Step 6: Final answer
    x = 1,795.63

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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.