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Finding the Fourth Proportional to 2,534.04, 3,800.34 and 973.94

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Solution

The fourth proportional to 2,534.04, 3,800.34 and 973.94 is: 1,460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.04 : 3,800.34 = 973.94 : x
  2. Step 2: Convert to fraction form
    2,534.04/3,800.34 = 973.94/x
  3. Step 3: Cross multiply
    2,534.04x = 3,800.34 × 973.94
  4. Step 4: Simplify right side
    2,534.04x = 3,701,284.14
  5. Step 5: Solve for x
    x = 3,701,284.14/2,534.04
  6. Step 6: Final answer
    x = 1,460.63

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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.