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Finding the Fourth Proportional to 2,867.60, 3,959 and 1,874.54

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Solution

The fourth proportional to 2,867.60, 3,959 and 1,874.54 is: 2,587.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.60 : 3,959 = 1,874.54 : x
  2. Step 2: Convert to fraction form
    2,867.60/3,959 = 1,874.54/x
  3. Step 3: Cross multiply
    2,867.60x = 3,959 × 1,874.54
  4. Step 4: Simplify right side
    2,867.60x = 7,421,303.86
  5. Step 5: Solve for x
    x = 7,421,303.86/2,867.60
  6. Step 6: Final answer
    x = 2,587.98

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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.