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Finding the Fourth Proportional to 1,421.14, 1,962.41 and 890.93

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Solution

The fourth proportional to 1,421.14, 1,962.41 and 890.93 is: 1,230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.14 : 1,962.41 = 890.93 : x
  2. Step 2: Convert to fraction form
    1,421.14/1,962.41 = 890.93/x
  3. Step 3: Cross multiply
    1,421.14x = 1,962.41 × 890.93
  4. Step 4: Simplify right side
    1,421.14x = 1,748,377.07
  5. Step 5: Solve for x
    x = 1,748,377.07/1,421.14
  6. Step 6: Final answer
    x = 1,230.26

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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.