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Finding the Fourth Proportional to 2,897.82, 4,342.50 and 1,580.49

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Solution

The fourth proportional to 2,897.82, 4,342.50 and 1,580.49 is: 2,368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.82 : 4,342.50 = 1,580.49 : x
  2. Step 2: Convert to fraction form
    2,897.82/4,342.50 = 1,580.49/x
  3. Step 3: Cross multiply
    2,897.82x = 4,342.50 × 1,580.49
  4. Step 4: Simplify right side
    2,897.82x = 6,863,277.83
  5. Step 5: Solve for x
    x = 6,863,277.83/2,897.82
  6. Step 6: Final answer
    x = 2,368.43

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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.