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Finding the Fourth Proportional to 2,870.95, 3,960.24 and 1,808.30

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Solution

The fourth proportional to 2,870.95, 3,960.24 and 1,808.30 is: 2,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.95 : 3,960.24 = 1,808.30 : x
  2. Step 2: Convert to fraction form
    2,870.95/3,960.24 = 1,808.30/x
  3. Step 3: Cross multiply
    2,870.95x = 3,960.24 × 1,808.30
  4. Step 4: Simplify right side
    2,870.95x = 7,161,301.99
  5. Step 5: Solve for x
    x = 7,161,301.99/2,870.95
  6. Step 6: Final answer
    x = 2,494.40

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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.