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Finding the Fourth Proportional to 1,624.12, 2,241.48 and 925.63

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Solution

The fourth proportional to 1,624.12, 2,241.48 and 925.63 is: 1,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.12 : 2,241.48 = 925.63 : x
  2. Step 2: Convert to fraction form
    1,624.12/2,241.48 = 925.63/x
  3. Step 3: Cross multiply
    1,624.12x = 2,241.48 × 925.63
  4. Step 4: Simplify right side
    1,624.12x = 2,074,781.13
  5. Step 5: Solve for x
    x = 2,074,781.13/1,624.12
  6. Step 6: Final answer
    x = 1,277.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.