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Finding the Fourth Proportional to 1,512.17, 2,266.22 and 690.02

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Solution

The fourth proportional to 1,512.17, 2,266.22 and 690.02 is: 1,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.17 : 2,266.22 = 690.02 : x
  2. Step 2: Convert to fraction form
    1,512.17/2,266.22 = 690.02/x
  3. Step 3: Cross multiply
    1,512.17x = 2,266.22 × 690.02
  4. Step 4: Simplify right side
    1,512.17x = 1,563,722.34
  5. Step 5: Solve for x
    x = 1,563,722.34/1,512.17
  6. Step 6: Final answer
    x = 1,034.10

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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.