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Finding the Fourth Proportional to 1,903.46, 2,626.02 and 1,157.14

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Solution

The fourth proportional to 1,903.46, 2,626.02 and 1,157.14 is: 1,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.46 : 2,626.02 = 1,157.14 : x
  2. Step 2: Convert to fraction form
    1,903.46/2,626.02 = 1,157.14/x
  3. Step 3: Cross multiply
    1,903.46x = 2,626.02 × 1,157.14
  4. Step 4: Simplify right side
    1,903.46x = 3,038,672.78
  5. Step 5: Solve for x
    x = 3,038,672.78/1,903.46
  6. Step 6: Final answer
    x = 1,596.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.