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Finding the Fourth Proportional to 1,651.76, 2,477.66 and 714.49

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Solution

The fourth proportional to 1,651.76, 2,477.66 and 714.49 is: 1,071.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.76 : 2,477.66 = 714.49 : x
  2. Step 2: Convert to fraction form
    1,651.76/2,477.66 = 714.49/x
  3. Step 3: Cross multiply
    1,651.76x = 2,477.66 × 714.49
  4. Step 4: Simplify right side
    1,651.76x = 1,770,253.53
  5. Step 5: Solve for x
    x = 1,770,253.53/1,651.76
  6. Step 6: Final answer
    x = 1,071.74

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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.