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Finding the Fourth Proportional to 2,178.55, 3,268.74 and 947.00

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Solution

The fourth proportional to 2,178.55, 3,268.74 and 947.00 is: 1,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.55 : 3,268.74 = 947.00 : x
  2. Step 2: Convert to fraction form
    2,178.55/3,268.74 = 947.00/x
  3. Step 3: Cross multiply
    2,178.55x = 3,268.74 × 947.00
  4. Step 4: Simplify right side
    2,178.55x = 3,095,484.79
  5. Step 5: Solve for x
    x = 3,095,484.79/2,178.55
  6. Step 6: Final answer
    x = 1,420.89

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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.