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Finding the Fourth Proportional to 1,266.37, 1,898.89 and 973.15

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Solution

The fourth proportional to 1,266.37, 1,898.89 and 973.15 is: 1,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.37 : 1,898.89 = 973.15 : x
  2. Step 2: Convert to fraction form
    1,266.37/1,898.89 = 973.15/x
  3. Step 3: Cross multiply
    1,266.37x = 1,898.89 × 973.15
  4. Step 4: Simplify right side
    1,266.37x = 1,847,897.62
  5. Step 5: Solve for x
    x = 1,847,897.62/1,266.37
  6. Step 6: Final answer
    x = 1,459.21

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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.