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Finding the Fourth Proportional to 2,773.51, 4,158.36 and 924.44

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Solution

The fourth proportional to 2,773.51, 4,158.36 and 924.44 is: 1,386.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.51 : 4,158.36 = 924.44 : x
  2. Step 2: Convert to fraction form
    2,773.51/4,158.36 = 924.44/x
  3. Step 3: Cross multiply
    2,773.51x = 4,158.36 × 924.44
  4. Step 4: Simplify right side
    2,773.51x = 3,844,133.53
  5. Step 5: Solve for x
    x = 3,844,133.53/2,773.51
  6. Step 6: Final answer
    x = 1,386.02

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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.