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Finding the Fourth Proportional to 1,850.19, 2,773.17 and 924.81

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Solution

The fourth proportional to 1,850.19, 2,773.17 and 924.81 is: 1,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.19 : 2,773.17 = 924.81 : x
  2. Step 2: Convert to fraction form
    1,850.19/2,773.17 = 924.81/x
  3. Step 3: Cross multiply
    1,850.19x = 2,773.17 × 924.81
  4. Step 4: Simplify right side
    1,850.19x = 2,564,655.35
  5. Step 5: Solve for x
    x = 2,564,655.35/1,850.19
  6. Step 6: Final answer
    x = 1,386.16

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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.