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Finding the Fourth Proportional to 1,809.55, 2,712.72 and 714.70

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Solution

The fourth proportional to 1,809.55, 2,712.72 and 714.70 is: 1,071.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.55 : 2,712.72 = 714.70 : x
  2. Step 2: Convert to fraction form
    1,809.55/2,712.72 = 714.70/x
  3. Step 3: Cross multiply
    1,809.55x = 2,712.72 × 714.70
  4. Step 4: Simplify right side
    1,809.55x = 1,938,780.98
  5. Step 5: Solve for x
    x = 1,938,780.98/1,809.55
  6. Step 6: Final answer
    x = 1,071.42

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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.