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Finding the Fourth Proportional to 1,522.62, 2,283.93 and 973.08

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Solution

The fourth proportional to 1,522.62, 2,283.93 and 973.08 is: 1,459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.62 : 2,283.93 = 973.08 : x
  2. Step 2: Convert to fraction form
    1,522.62/2,283.93 = 973.08/x
  3. Step 3: Cross multiply
    1,522.62x = 2,283.93 × 973.08
  4. Step 4: Simplify right side
    1,522.62x = 2,222,446.60
  5. Step 5: Solve for x
    x = 2,222,446.60/1,522.62
  6. Step 6: Final answer
    x = 1,459.62

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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.