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Finding the Fourth Proportional to 2,160.57, 3,242.23 and 1,065.02

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Solution

The fourth proportional to 2,160.57, 3,242.23 and 1,065.02 is: 1,598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.57 : 3,242.23 = 1,065.02 : x
  2. Step 2: Convert to fraction form
    2,160.57/3,242.23 = 1,065.02/x
  3. Step 3: Cross multiply
    2,160.57x = 3,242.23 × 1,065.02
  4. Step 4: Simplify right side
    2,160.57x = 3,453,048.28
  5. Step 5: Solve for x
    x = 3,453,048.28/2,160.57
  6. Step 6: Final answer
    x = 1,598.21

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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.