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Finding the Fourth Proportional to 1,625.42, 2,438.64 and 895.50

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Solution

The fourth proportional to 1,625.42, 2,438.64 and 895.50 is: 1,343.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.42 : 2,438.64 = 895.50 : x
  2. Step 2: Convert to fraction form
    1,625.42/2,438.64 = 895.50/x
  3. Step 3: Cross multiply
    1,625.42x = 2,438.64 × 895.50
  4. Step 4: Simplify right side
    1,625.42x = 2,183,802.12
  5. Step 5: Solve for x
    x = 2,183,802.12/1,625.42
  6. Step 6: Final answer
    x = 1,343.53

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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.