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Finding the Fourth Proportional to 2,295.40, 3,441.64 and 1,061.16

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Solution

The fourth proportional to 2,295.40, 3,441.64 and 1,061.16 is: 1,591.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.40 : 3,441.64 = 1,061.16 : x
  2. Step 2: Convert to fraction form
    2,295.40/3,441.64 = 1,061.16/x
  3. Step 3: Cross multiply
    2,295.40x = 3,441.64 × 1,061.16
  4. Step 4: Simplify right side
    2,295.40x = 3,652,130.70
  5. Step 5: Solve for x
    x = 3,652,130.70/2,295.40
  6. Step 6: Final answer
    x = 1,591.07

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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.