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Finding the Fourth Proportional to 4,892.30, 7,338.65 and 1,970.63

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Solution

The fourth proportional to 4,892.30, 7,338.65 and 1,970.63 is: 2,956.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.30 : 7,338.65 = 1,970.63 : x
  2. Step 2: Convert to fraction form
    4,892.30/7,338.65 = 1,970.63/x
  3. Step 3: Cross multiply
    4,892.30x = 7,338.65 × 1,970.63
  4. Step 4: Simplify right side
    4,892.30x = 14,461,717.30
  5. Step 5: Solve for x
    x = 14,461,717.30/4,892.30
  6. Step 6: Final answer
    x = 2,956.02

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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.