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Finding the Fourth Proportional to 2,013.09, 3,015.45 and 973.95

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Solution

The fourth proportional to 2,013.09, 3,015.45 and 973.95 is: 1,458.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.09 : 3,015.45 = 973.95 : x
  2. Step 2: Convert to fraction form
    2,013.09/3,015.45 = 973.95/x
  3. Step 3: Cross multiply
    2,013.09x = 3,015.45 × 973.95
  4. Step 4: Simplify right side
    2,013.09x = 2,936,897.53
  5. Step 5: Solve for x
    x = 2,936,897.53/2,013.09
  6. Step 6: Final answer
    x = 1,458.90

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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.