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Finding the Fourth Proportional to 3,165.12, 4,748.31 and 973.77

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Solution

The fourth proportional to 3,165.12, 4,748.31 and 973.77 is: 1,460.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.12 : 4,748.31 = 973.77 : x
  2. Step 2: Convert to fraction form
    3,165.12/4,748.31 = 973.77/x
  3. Step 3: Cross multiply
    3,165.12x = 4,748.31 × 973.77
  4. Step 4: Simplify right side
    3,165.12x = 4,623,738.09
  5. Step 5: Solve for x
    x = 4,623,738.09/3,165.12
  6. Step 6: Final answer
    x = 1,460.84

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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.