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Finding the Fourth Proportional to 3,165.60, 4,748.48 and 857.08

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Solution

The fourth proportional to 3,165.60, 4,748.48 and 857.08 is: 1,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.60 : 4,748.48 = 857.08 : x
  2. Step 2: Convert to fraction form
    3,165.60/4,748.48 = 857.08/x
  3. Step 3: Cross multiply
    3,165.60x = 4,748.48 × 857.08
  4. Step 4: Simplify right side
    3,165.60x = 4,069,827.24
  5. Step 5: Solve for x
    x = 4,069,827.24/3,165.60
  6. Step 6: Final answer
    x = 1,285.64

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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.