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Finding the Fourth Proportional to 1,419.40, 2,128.95 and 379.50

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Solution

The fourth proportional to 1,419.40, 2,128.95 and 379.50 is: 569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.40 : 2,128.95 = 379.50 : x
  2. Step 2: Convert to fraction form
    1,419.40/2,128.95 = 379.50/x
  3. Step 3: Cross multiply
    1,419.40x = 2,128.95 × 379.50
  4. Step 4: Simplify right side
    1,419.40x = 807,929.93
  5. Step 5: Solve for x
    x = 807,929.93/1,419.40
  6. Step 6: Final answer
    x = 569.20

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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.