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Finding the Fourth Proportional to 2,897.58, 4,343.41 and 1,141.89

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Solution

The fourth proportional to 2,897.58, 4,343.41 and 1,141.89 is: 1,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.58 : 4,343.41 = 1,141.89 : x
  2. Step 2: Convert to fraction form
    2,897.58/4,343.41 = 1,141.89/x
  3. Step 3: Cross multiply
    2,897.58x = 4,343.41 × 1,141.89
  4. Step 4: Simplify right side
    2,897.58x = 4,959,696.44
  5. Step 5: Solve for x
    x = 4,959,696.44/2,897.58
  6. Step 6: Final answer
    x = 1,711.67

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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.