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Finding the Fourth Proportional to 3,124.86, 4,684.05 and 1,275.18

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Solution

The fourth proportional to 3,124.86, 4,684.05 and 1,275.18 is: 1,911.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.86 : 4,684.05 = 1,275.18 : x
  2. Step 2: Convert to fraction form
    3,124.86/4,684.05 = 1,275.18/x
  3. Step 3: Cross multiply
    3,124.86x = 4,684.05 × 1,275.18
  4. Step 4: Simplify right side
    3,124.86x = 5,973,006.88
  5. Step 5: Solve for x
    x = 5,973,006.88/3,124.86
  6. Step 6: Final answer
    x = 1,911.45

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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.