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Finding the Fourth Proportional to 2,274.40, 3,411.84 and 714.40

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Solution

The fourth proportional to 2,274.40, 3,411.84 and 714.40 is: 1,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.40 : 3,411.84 = 714.40 : x
  2. Step 2: Convert to fraction form
    2,274.40/3,411.84 = 714.40/x
  3. Step 3: Cross multiply
    2,274.40x = 3,411.84 × 714.40
  4. Step 4: Simplify right side
    2,274.40x = 2,437,418.50
  5. Step 5: Solve for x
    x = 2,437,418.50/2,274.40
  6. Step 6: Final answer
    x = 1,071.68

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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.