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Finding the Fourth Proportional to 1,897.90, 2,841.87 and 1,525.72

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Solution

The fourth proportional to 1,897.90, 2,841.87 and 1,525.72 is: 2,284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.90 : 2,841.87 = 1,525.72 : x
  2. Step 2: Convert to fraction form
    1,897.90/2,841.87 = 1,525.72/x
  3. Step 3: Cross multiply
    1,897.90x = 2,841.87 × 1,525.72
  4. Step 4: Simplify right side
    1,897.90x = 4,335,897.90
  5. Step 5: Solve for x
    x = 4,335,897.90/1,897.90
  6. Step 6: Final answer
    x = 2,284.58

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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.