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Finding the Fourth Proportional to 1,355.55, 2,034.47 and 946.47

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Solution

The fourth proportional to 1,355.55, 2,034.47 and 946.47 is: 1,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.55 : 2,034.47 = 946.47 : x
  2. Step 2: Convert to fraction form
    1,355.55/2,034.47 = 946.47/x
  3. Step 3: Cross multiply
    1,355.55x = 2,034.47 × 946.47
  4. Step 4: Simplify right side
    1,355.55x = 1,925,560.09
  5. Step 5: Solve for x
    x = 1,925,560.09/1,355.55
  6. Step 6: Final answer
    x = 1,420.50

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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.