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Finding the Fourth Proportional to 2,957.84, 4,427.53 and 2,178.72

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Solution

The fourth proportional to 2,957.84, 4,427.53 and 2,178.72 is: 3,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.84 : 4,427.53 = 2,178.72 : x
  2. Step 2: Convert to fraction form
    2,957.84/4,427.53 = 2,178.72/x
  3. Step 3: Cross multiply
    2,957.84x = 4,427.53 × 2,178.72
  4. Step 4: Simplify right side
    2,957.84x = 9,646,331.65
  5. Step 5: Solve for x
    x = 9,646,331.65/2,957.84
  6. Step 6: Final answer
    x = 3,261.28

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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.