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Finding the Fourth Proportional to 1,897.90, 2,846.44 and 598.66

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Solution

The fourth proportional to 1,897.90, 2,846.44 and 598.66 is: 897.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.90 : 2,846.44 = 598.66 : x
  2. Step 2: Convert to fraction form
    1,897.90/2,846.44 = 598.66/x
  3. Step 3: Cross multiply
    1,897.90x = 2,846.44 × 598.66
  4. Step 4: Simplify right side
    1,897.90x = 1,704,049.77
  5. Step 5: Solve for x
    x = 1,704,049.77/1,897.90
  6. Step 6: Final answer
    x = 897.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.