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Finding the Fourth Proportional to 1,266.10, 1,899.06 and 341.71

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Solution

The fourth proportional to 1,266.10, 1,899.06 and 341.71 is: 512.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.10 : 1,899.06 = 341.71 : x
  2. Step 2: Convert to fraction form
    1,266.10/1,899.06 = 341.71/x
  3. Step 3: Cross multiply
    1,266.10x = 1,899.06 × 341.71
  4. Step 4: Simplify right side
    1,266.10x = 648,927.79
  5. Step 5: Solve for x
    x = 648,927.79/1,266.10
  6. Step 6: Final answer
    x = 512.54

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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.