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Finding the Fourth Proportional to 3,152.61, 4,346.75 and 1,971.63

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Solution

The fourth proportional to 3,152.61, 4,346.75 and 1,971.63 is: 2,718.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.61 : 4,346.75 = 1,971.63 : x
  2. Step 2: Convert to fraction form
    3,152.61/4,346.75 = 1,971.63/x
  3. Step 3: Cross multiply
    3,152.61x = 4,346.75 × 1,971.63
  4. Step 4: Simplify right side
    3,152.61x = 8,570,197.08
  5. Step 5: Solve for x
    x = 8,570,197.08/3,152.61
  6. Step 6: Final answer
    x = 2,718.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.