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Finding the Fourth Proportional to 2,274.18, 3,411.01 and 714.12

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Solution

The fourth proportional to 2,274.18, 3,411.01 and 714.12 is: 1,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.18 : 3,411.01 = 714.12 : x
  2. Step 2: Convert to fraction form
    2,274.18/3,411.01 = 714.12/x
  3. Step 3: Cross multiply
    2,274.18x = 3,411.01 × 714.12
  4. Step 4: Simplify right side
    2,274.18x = 2,435,870.46
  5. Step 5: Solve for x
    x = 2,435,870.46/2,274.18
  6. Step 6: Final answer
    x = 1,071.10

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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.