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Finding the Fourth Proportional to 1,972.45, 2,958.24 and 802.15

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Solution

The fourth proportional to 1,972.45, 2,958.24 and 802.15 is: 1,203.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.45 : 2,958.24 = 802.15 : x
  2. Step 2: Convert to fraction form
    1,972.45/2,958.24 = 802.15/x
  3. Step 3: Cross multiply
    1,972.45x = 2,958.24 × 802.15
  4. Step 4: Simplify right side
    1,972.45x = 2,372,952.22
  5. Step 5: Solve for x
    x = 2,372,952.22/1,972.45
  6. Step 6: Final answer
    x = 1,203.05

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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.