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Finding the Fourth Proportional to 1,897.74, 2,847.10 and 599.22

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Solution

The fourth proportional to 1,897.74, 2,847.10 and 599.22 is: 898.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.74 : 2,847.10 = 599.22 : x
  2. Step 2: Convert to fraction form
    1,897.74/2,847.10 = 599.22/x
  3. Step 3: Cross multiply
    1,897.74x = 2,847.10 × 599.22
  4. Step 4: Simplify right side
    1,897.74x = 1,706,039.26
  5. Step 5: Solve for x
    x = 1,706,039.26/1,897.74
  6. Step 6: Final answer
    x = 898.98

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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.