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Finding the Fourth Proportional to 2,410.40, 3,326.98 and 1,573.18

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Solution

The fourth proportional to 2,410.40, 3,326.98 and 1,573.18 is: 2,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.40 : 3,326.98 = 1,573.18 : x
  2. Step 2: Convert to fraction form
    2,410.40/3,326.98 = 1,573.18/x
  3. Step 3: Cross multiply
    2,410.40x = 3,326.98 × 1,573.18
  4. Step 4: Simplify right side
    2,410.40x = 5,233,938.40
  5. Step 5: Solve for x
    x = 5,233,938.40/2,410.40
  6. Step 6: Final answer
    x = 2,171.40

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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.