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Finding the Fourth Proportional to 1,980.87, 2,971.19 and 594.18

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Solution

The fourth proportional to 1,980.87, 2,971.19 and 594.18 is: 891.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.87 : 2,971.19 = 594.18 : x
  2. Step 2: Convert to fraction form
    1,980.87/2,971.19 = 594.18/x
  3. Step 3: Cross multiply
    1,980.87x = 2,971.19 × 594.18
  4. Step 4: Simplify right side
    1,980.87x = 1,765,423.16
  5. Step 5: Solve for x
    x = 1,765,423.16/1,980.87
  6. Step 6: Final answer
    x = 891.24

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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.