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Finding the Fourth Proportional to 1,946.70, 2,921.54 and 714.42

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Solution

The fourth proportional to 1,946.70, 2,921.54 and 714.42 is: 1,072.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.70 : 2,921.54 = 714.42 : x
  2. Step 2: Convert to fraction form
    1,946.70/2,921.54 = 714.42/x
  3. Step 3: Cross multiply
    1,946.70x = 2,921.54 × 714.42
  4. Step 4: Simplify right side
    1,946.70x = 2,087,206.61
  5. Step 5: Solve for x
    x = 2,087,206.61/1,946.70
  6. Step 6: Final answer
    x = 1,072.18

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1.5x scale

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.