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Finding the Fourth Proportional to 1,444.45, 2,167.18 and 924.69

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Solution

The fourth proportional to 1,444.45, 2,167.18 and 924.69 is: 1,387.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.45 : 2,167.18 = 924.69 : x
  2. Step 2: Convert to fraction form
    1,444.45/2,167.18 = 924.69/x
  3. Step 3: Cross multiply
    1,444.45x = 2,167.18 × 924.69
  4. Step 4: Simplify right side
    1,444.45x = 2,003,971.99
  5. Step 5: Solve for x
    x = 2,003,971.99/1,444.45
  6. Step 6: Final answer
    x = 1,387.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.