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Finding the Fourth Proportional to 2,946.49, 4,419.76 and 755.16

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Solution

The fourth proportional to 2,946.49, 4,419.76 and 755.16 is: 1,132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.49 : 4,419.76 = 755.16 : x
  2. Step 2: Convert to fraction form
    2,946.49/4,419.76 = 755.16/x
  3. Step 3: Cross multiply
    2,946.49x = 4,419.76 × 755.16
  4. Step 4: Simplify right side
    2,946.49x = 3,337,603.86
  5. Step 5: Solve for x
    x = 3,337,603.86/2,946.49
  6. Step 6: Final answer
    x = 1,132.74

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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.