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Finding the Fourth Proportional to 2,358.33, 3,537.64 and 714.89

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Solution

The fourth proportional to 2,358.33, 3,537.64 and 714.89 is: 1,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.33 : 3,537.64 = 714.89 : x
  2. Step 2: Convert to fraction form
    2,358.33/3,537.64 = 714.89/x
  3. Step 3: Cross multiply
    2,358.33x = 3,537.64 × 714.89
  4. Step 4: Simplify right side
    2,358.33x = 2,529,042.17
  5. Step 5: Solve for x
    x = 2,529,042.17/2,358.33
  6. Step 6: Final answer
    x = 1,072.39

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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.