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Finding the Fourth Proportional to 1,980.69, 2,972.05 and 1,437.35

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Solution

The fourth proportional to 1,980.69, 2,972.05 and 1,437.35 is: 2,156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.69 : 2,972.05 = 1,437.35 : x
  2. Step 2: Convert to fraction form
    1,980.69/2,972.05 = 1,437.35/x
  3. Step 3: Cross multiply
    1,980.69x = 2,972.05 × 1,437.35
  4. Step 4: Simplify right side
    1,980.69x = 4,271,876.07
  5. Step 5: Solve for x
    x = 4,271,876.07/1,980.69
  6. Step 6: Final answer
    x = 2,156.76

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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.