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Finding the Fourth Proportional to 1,572.16, 2,361.68 and 956.20

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Solution

The fourth proportional to 1,572.16, 2,361.68 and 956.20 is: 1,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.16 : 2,361.68 = 956.20 : x
  2. Step 2: Convert to fraction form
    1,572.16/2,361.68 = 956.20/x
  3. Step 3: Cross multiply
    1,572.16x = 2,361.68 × 956.20
  4. Step 4: Simplify right side
    1,572.16x = 2,258,238.42
  5. Step 5: Solve for x
    x = 2,258,238.42/1,572.16
  6. Step 6: Final answer
    x = 1,436.39

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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.