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Finding the Fourth Proportional to 1,897.29, 2,845.70 and 598.66

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Solution

The fourth proportional to 1,897.29, 2,845.70 and 598.66 is: 897.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.29 : 2,845.70 = 598.66 : x
  2. Step 2: Convert to fraction form
    1,897.29/2,845.70 = 598.66/x
  3. Step 3: Cross multiply
    1,897.29x = 2,845.70 × 598.66
  4. Step 4: Simplify right side
    1,897.29x = 1,703,598.90
  5. Step 5: Solve for x
    x = 1,703,598.90/1,897.29
  6. Step 6: Final answer
    x = 897.91

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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.