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Finding the Fourth Proportional to 2,156.68, 3,232.62 and 1,059.40

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Solution

The fourth proportional to 2,156.68, 3,232.62 and 1,059.40 is: 1,587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.68 : 3,232.62 = 1,059.40 : x
  2. Step 2: Convert to fraction form
    2,156.68/3,232.62 = 1,059.40/x
  3. Step 3: Cross multiply
    2,156.68x = 3,232.62 × 1,059.40
  4. Step 4: Simplify right side
    2,156.68x = 3,424,637.63
  5. Step 5: Solve for x
    x = 3,424,637.63/2,156.68
  6. Step 6: Final answer
    x = 1,587.92

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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.