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Finding the Fourth Proportional to 3,130.86, 4,320.59 and 1,951.94

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Solution

The fourth proportional to 3,130.86, 4,320.59 and 1,951.94 is: 2,693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.86 : 4,320.59 = 1,951.94 : x
  2. Step 2: Convert to fraction form
    3,130.86/4,320.59 = 1,951.94/x
  3. Step 3: Cross multiply
    3,130.86x = 4,320.59 × 1,951.94
  4. Step 4: Simplify right side
    3,130.86x = 8,433,501.08
  5. Step 5: Solve for x
    x = 8,433,501.08/3,130.86
  6. Step 6: Final answer
    x = 2,693.67

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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.