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Finding the Fourth Proportional to 2,535.21, 3,803.00 and 975.38

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Solution

The fourth proportional to 2,535.21, 3,803.00 and 975.38 is: 1,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.21 : 3,803.00 = 975.38 : x
  2. Step 2: Convert to fraction form
    2,535.21/3,803.00 = 975.38/x
  3. Step 3: Cross multiply
    2,535.21x = 3,803.00 × 975.38
  4. Step 4: Simplify right side
    2,535.21x = 3,709,346.25
  5. Step 5: Solve for x
    x = 3,709,346.25/2,535.21
  6. Step 6: Final answer
    x = 1,463.13

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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.