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Finding the Fourth Proportional to 2,171.36, 3,256.38 and 710.18

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Solution

The fourth proportional to 2,171.36, 3,256.38 and 710.18 is: 1,065.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.36 : 3,256.38 = 710.18 : x
  2. Step 2: Convert to fraction form
    2,171.36/3,256.38 = 710.18/x
  3. Step 3: Cross multiply
    2,171.36x = 3,256.38 × 710.18
  4. Step 4: Simplify right side
    2,171.36x = 2,312,615.95
  5. Step 5: Solve for x
    x = 2,312,615.95/2,171.36
  6. Step 6: Final answer
    x = 1,065.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.