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Finding the Fourth Proportional to 2,417.64, 3,626.46 and 774.18

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Solution

The fourth proportional to 2,417.64, 3,626.46 and 774.18 is: 1,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.64 : 3,626.46 = 774.18 : x
  2. Step 2: Convert to fraction form
    2,417.64/3,626.46 = 774.18/x
  3. Step 3: Cross multiply
    2,417.64x = 3,626.46 × 774.18
  4. Step 4: Simplify right side
    2,417.64x = 2,807,532.80
  5. Step 5: Solve for x
    x = 2,807,532.80/2,417.64
  6. Step 6: Final answer
    x = 1,161.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.