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Finding the Fourth Proportional to 3,117.64, 4,678.08 and 1,385.86

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Solution

The fourth proportional to 3,117.64, 4,678.08 and 1,385.86 is: 2,079.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.64 : 4,678.08 = 1,385.86 : x
  2. Step 2: Convert to fraction form
    3,117.64/4,678.08 = 1,385.86/x
  3. Step 3: Cross multiply
    3,117.64x = 4,678.08 × 1,385.86
  4. Step 4: Simplify right side
    3,117.64x = 6,483,163.95
  5. Step 5: Solve for x
    x = 6,483,163.95/3,117.64
  6. Step 6: Final answer
    x = 2,079.51

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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.