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Finding the Fourth Proportional to 2,535.63, 3,803.75 and 975.27

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Solution

The fourth proportional to 2,535.63, 3,803.75 and 975.27 is: 1,463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.63 : 3,803.75 = 975.27 : x
  2. Step 2: Convert to fraction form
    2,535.63/3,803.75 = 975.27/x
  3. Step 3: Cross multiply
    2,535.63x = 3,803.75 × 975.27
  4. Step 4: Simplify right side
    2,535.63x = 3,709,683.26
  5. Step 5: Solve for x
    x = 3,709,683.26/2,535.63
  6. Step 6: Final answer
    x = 1,463.02

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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.