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Finding the Fourth Proportional to 3,072.42, 4,606.53 and 1,510.98

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Solution

The fourth proportional to 3,072.42, 4,606.53 and 1,510.98 is: 2,265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.42 : 4,606.53 = 1,510.98 : x
  2. Step 2: Convert to fraction form
    3,072.42/4,606.53 = 1,510.98/x
  3. Step 3: Cross multiply
    3,072.42x = 4,606.53 × 1,510.98
  4. Step 4: Simplify right side
    3,072.42x = 6,960,374.70
  5. Step 5: Solve for x
    x = 6,960,374.70/3,072.42
  6. Step 6: Final answer
    x = 2,265.44

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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.