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Finding the Fourth Proportional to 3,207.36, 4,426.52 and 1,810

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Solution

The fourth proportional to 3,207.36, 4,426.52 and 1,810 is: 2,498.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.36 : 4,426.52 = 1,810 : x
  2. Step 2: Convert to fraction form
    3,207.36/4,426.52 = 1,810/x
  3. Step 3: Cross multiply
    3,207.36x = 4,426.52 × 1,810
  4. Step 4: Simplify right side
    3,207.36x = 8,012,001.20
  5. Step 5: Solve for x
    x = 8,012,001.20/3,207.36
  6. Step 6: Final answer
    x = 2,498.00

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