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Finding the Fourth Proportional to 2,773.47, 4,158.82 and 923.95

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Solution

The fourth proportional to 2,773.47, 4,158.82 and 923.95 is: 1,385.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.47 : 4,158.82 = 923.95 : x
  2. Step 2: Convert to fraction form
    2,773.47/4,158.82 = 923.95/x
  3. Step 3: Cross multiply
    2,773.47x = 4,158.82 × 923.95
  4. Step 4: Simplify right side
    2,773.47x = 3,842,541.74
  5. Step 5: Solve for x
    x = 3,842,541.74/2,773.47
  6. Step 6: Final answer
    x = 1,385.46

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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.