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Finding the Fourth Proportional to 1,522.56, 2,283.80 and 1,316.53

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Solution

The fourth proportional to 1,522.56, 2,283.80 and 1,316.53 is: 1,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.56 : 2,283.80 = 1,316.53 : x
  2. Step 2: Convert to fraction form
    1,522.56/2,283.80 = 1,316.53/x
  3. Step 3: Cross multiply
    1,522.56x = 2,283.80 × 1,316.53
  4. Step 4: Simplify right side
    1,522.56x = 3,006,678.92
  5. Step 5: Solve for x
    x = 3,006,678.92/1,522.56
  6. Step 6: Final answer
    x = 1,974.75

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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.