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Finding the Fourth Proportional to 3,167.60, 4,751.40 and 859.10

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Solution

The fourth proportional to 3,167.60, 4,751.40 and 859.10 is: 1,288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.60 : 4,751.40 = 859.10 : x
  2. Step 2: Convert to fraction form
    3,167.60/4,751.40 = 859.10/x
  3. Step 3: Cross multiply
    3,167.60x = 4,751.40 × 859.10
  4. Step 4: Simplify right side
    3,167.60x = 4,081,927.74
  5. Step 5: Solve for x
    x = 4,081,927.74/3,167.60
  6. Step 6: Final answer
    x = 1,288.65

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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.