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Finding the Fourth Proportional to 2,083.53, 3,126.07 and 973.58

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Solution

The fourth proportional to 2,083.53, 3,126.07 and 973.58 is: 1,460.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.53 : 3,126.07 = 973.58 : x
  2. Step 2: Convert to fraction form
    2,083.53/3,126.07 = 973.58/x
  3. Step 3: Cross multiply
    2,083.53x = 3,126.07 × 973.58
  4. Step 4: Simplify right side
    2,083.53x = 3,043,463.60
  5. Step 5: Solve for x
    x = 3,043,463.60/2,083.53
  6. Step 6: Final answer
    x = 1,460.72

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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.