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Finding the Fourth Proportional to 1,361.54, 2,037.99 and 975.62

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Solution

The fourth proportional to 1,361.54, 2,037.99 and 975.62 is: 1,460.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.54 : 2,037.99 = 975.62 : x
  2. Step 2: Convert to fraction form
    1,361.54/2,037.99 = 975.62/x
  3. Step 3: Cross multiply
    1,361.54x = 2,037.99 × 975.62
  4. Step 4: Simplify right side
    1,361.54x = 1,988,303.80
  5. Step 5: Solve for x
    x = 1,988,303.80/1,361.54
  6. Step 6: Final answer
    x = 1,460.33

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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.