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Finding the Fourth Proportional to 2,380.18, 3,570.79 and 714.23

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Solution

The fourth proportional to 2,380.18, 3,570.79 and 714.23 is: 1,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.18 : 3,570.79 = 714.23 : x
  2. Step 2: Convert to fraction form
    2,380.18/3,570.79 = 714.23/x
  3. Step 3: Cross multiply
    2,380.18x = 3,570.79 × 714.23
  4. Step 4: Simplify right side
    2,380.18x = 2,550,365.34
  5. Step 5: Solve for x
    x = 2,550,365.34/2,380.18
  6. Step 6: Final answer
    x = 1,071.50

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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.