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Finding the Fourth Proportional to 4,577.40, 6,866.58 and 1,980.60

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Solution

The fourth proportional to 4,577.40, 6,866.58 and 1,980.60 is: 2,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.40 : 6,866.58 = 1,980.60 : x
  2. Step 2: Convert to fraction form
    4,577.40/6,866.58 = 1,980.60/x
  3. Step 3: Cross multiply
    4,577.40x = 6,866.58 × 1,980.60
  4. Step 4: Simplify right side
    4,577.40x = 13,599,948.35
  5. Step 5: Solve for x
    x = 13,599,948.35/4,577.40
  6. Step 6: Final answer
    x = 2,971.11

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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.