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Finding the Fourth Proportional to 1,262.18, 1,890.02 and 873.38

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Solution

The fourth proportional to 1,262.18, 1,890.02 and 873.38 is: 1,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.18 : 1,890.02 = 873.38 : x
  2. Step 2: Convert to fraction form
    1,262.18/1,890.02 = 873.38/x
  3. Step 3: Cross multiply
    1,262.18x = 1,890.02 × 873.38
  4. Step 4: Simplify right side
    1,262.18x = 1,650,705.67
  5. Step 5: Solve for x
    x = 1,650,705.67/1,262.18
  6. Step 6: Final answer
    x = 1,307.82

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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.