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Finding the Fourth Proportional to 1,897.01, 2,845.82 and 598.38

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Solution

The fourth proportional to 1,897.01, 2,845.82 and 598.38 is: 897.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.01 : 2,845.82 = 598.38 : x
  2. Step 2: Convert to fraction form
    1,897.01/2,845.82 = 598.38/x
  3. Step 3: Cross multiply
    1,897.01x = 2,845.82 × 598.38
  4. Step 4: Simplify right side
    1,897.01x = 1,702,881.77
  5. Step 5: Solve for x
    x = 1,702,881.77/1,897.01
  6. Step 6: Final answer
    x = 897.67

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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.