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Finding the Fourth Proportional to 2,171.53, 3,257.01 and 1,130.95

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Solution

The fourth proportional to 2,171.53, 3,257.01 and 1,130.95 is: 1,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.53 : 3,257.01 = 1,130.95 : x
  2. Step 2: Convert to fraction form
    2,171.53/3,257.01 = 1,130.95/x
  3. Step 3: Cross multiply
    2,171.53x = 3,257.01 × 1,130.95
  4. Step 4: Simplify right side
    2,171.53x = 3,683,515.46
  5. Step 5: Solve for x
    x = 3,683,515.46/2,171.53
  6. Step 6: Final answer
    x = 1,696.28

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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.