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Finding the Fourth Proportional to 2,364.21, 3,544.92 and 975.99

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Solution

The fourth proportional to 2,364.21, 3,544.92 and 975.99 is: 1,463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.21 : 3,544.92 = 975.99 : x
  2. Step 2: Convert to fraction form
    2,364.21/3,544.92 = 975.99/x
  3. Step 3: Cross multiply
    2,364.21x = 3,544.92 × 975.99
  4. Step 4: Simplify right side
    2,364.21x = 3,459,806.47
  5. Step 5: Solve for x
    x = 3,459,806.47/2,364.21
  6. Step 6: Final answer
    x = 1,463.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.