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Finding the Fourth Proportional to 2,946, 4,419.54 and 1,407

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Solution

The fourth proportional to 2,946, 4,419.54 and 1,407 is: 2,110.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946 : 4,419.54 = 1,407 : x
  2. Step 2: Convert to fraction form
    2,946/4,419.54 = 1,407/x
  3. Step 3: Cross multiply
    2,946x = 4,419.54 × 1,407
  4. Step 4: Simplify right side
    2,946x = 6,218,292.78
  5. Step 5: Solve for x
    x = 6,218,292.78/2,946
  6. Step 6: Final answer
    x = 2,110.76

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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.