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Finding the Fourth Proportional to 2,465.16, 3,681.50 and 2,193

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Solution

The fourth proportional to 2,465.16, 3,681.50 and 2,193 is: 3,275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.16 : 3,681.50 = 2,193 : x
  2. Step 2: Convert to fraction form
    2,465.16/3,681.50 = 2,193/x
  3. Step 3: Cross multiply
    2,465.16x = 3,681.50 × 2,193
  4. Step 4: Simplify right side
    2,465.16x = 8,073,529.50
  5. Step 5: Solve for x
    x = 8,073,529.50/2,465.16
  6. Step 6: Final answer
    x = 3,275.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.