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Finding the Fourth Proportional to 2,159.70, 3,242.25 and 1,065.12

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Solution

The fourth proportional to 2,159.70, 3,242.25 and 1,065.12 is: 1,599.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.70 : 3,242.25 = 1,065.12 : x
  2. Step 2: Convert to fraction form
    2,159.70/3,242.25 = 1,065.12/x
  3. Step 3: Cross multiply
    2,159.70x = 3,242.25 × 1,065.12
  4. Step 4: Simplify right side
    2,159.70x = 3,453,385.32
  5. Step 5: Solve for x
    x = 3,453,385.32/2,159.70
  6. Step 6: Final answer
    x = 1,599.01

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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.