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Finding the Fourth Proportional to 3,117.87, 4,303.41 and 1,938.24

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Solution

The fourth proportional to 3,117.87, 4,303.41 and 1,938.24 is: 2,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.87 : 4,303.41 = 1,938.24 : x
  2. Step 2: Convert to fraction form
    3,117.87/4,303.41 = 1,938.24/x
  3. Step 3: Cross multiply
    3,117.87x = 4,303.41 × 1,938.24
  4. Step 4: Simplify right side
    3,117.87x = 8,341,041.40
  5. Step 5: Solve for x
    x = 8,341,041.40/3,117.87
  6. Step 6: Final answer
    x = 2,675.24

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Why These Related Problems?

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