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Finding the Fourth Proportional to 4,178.40, 6,259.23 and 1,980.60

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Solution

The fourth proportional to 4,178.40, 6,259.23 and 1,980.60 is: 2,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.40 : 6,259.23 = 1,980.60 : x
  2. Step 2: Convert to fraction form
    4,178.40/6,259.23 = 1,980.60/x
  3. Step 3: Cross multiply
    4,178.40x = 6,259.23 × 1,980.60
  4. Step 4: Simplify right side
    4,178.40x = 12,397,030.94
  5. Step 5: Solve for x
    x = 12,397,030.94/4,178.40
  6. Step 6: Final answer
    x = 2,966.93

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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.