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Finding the Fourth Proportional to 1,419.36, 2,130.72 and 771.36

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Solution

The fourth proportional to 1,419.36, 2,130.72 and 771.36 is: 1,157.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.36 : 2,130.72 = 771.36 : x
  2. Step 2: Convert to fraction form
    1,419.36/2,130.72 = 771.36/x
  3. Step 3: Cross multiply
    1,419.36x = 2,130.72 × 771.36
  4. Step 4: Simplify right side
    1,419.36x = 1,643,552.18
  5. Step 5: Solve for x
    x = 1,643,552.18/1,419.36
  6. Step 6: Final answer
    x = 1,157.95

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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.