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Finding the Fourth Proportional to 1,510.63, 2,266.14 and 645.14

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Solution

The fourth proportional to 1,510.63, 2,266.14 and 645.14 is: 967.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.63 : 2,266.14 = 645.14 : x
  2. Step 2: Convert to fraction form
    1,510.63/2,266.14 = 645.14/x
  3. Step 3: Cross multiply
    1,510.63x = 2,266.14 × 645.14
  4. Step 4: Simplify right side
    1,510.63x = 1,461,977.56
  5. Step 5: Solve for x
    x = 1,461,977.56/1,510.63
  6. Step 6: Final answer
    x = 967.80

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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.