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Finding the Fourth Proportional to 2,274.48, 3,411.64 and 714.48

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Solution

The fourth proportional to 2,274.48, 3,411.64 and 714.48 is: 1,071.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.48 : 3,411.64 = 714.48 : x
  2. Step 2: Convert to fraction form
    2,274.48/3,411.64 = 714.48/x
  3. Step 3: Cross multiply
    2,274.48x = 3,411.64 × 714.48
  4. Step 4: Simplify right side
    2,274.48x = 2,437,548.55
  5. Step 5: Solve for x
    x = 2,437,548.55/2,274.48
  6. Step 6: Final answer
    x = 1,071.69

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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.