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Finding the Fourth Proportional to 1,510.75, 2,266.14 and 536.89

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Solution

The fourth proportional to 1,510.75, 2,266.14 and 536.89 is: 805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.75 : 2,266.14 = 536.89 : x
  2. Step 2: Convert to fraction form
    1,510.75/2,266.14 = 536.89/x
  3. Step 3: Cross multiply
    1,510.75x = 2,266.14 × 536.89
  4. Step 4: Simplify right side
    1,510.75x = 1,216,667.90
  5. Step 5: Solve for x
    x = 1,216,667.90/1,510.75
  6. Step 6: Final answer
    x = 805.34

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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.