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Finding the Fourth Proportional to 2,037.32, 3,056.45 and 650.46

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Solution

The fourth proportional to 2,037.32, 3,056.45 and 650.46 is: 975.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.32 : 3,056.45 = 650.46 : x
  2. Step 2: Convert to fraction form
    2,037.32/3,056.45 = 650.46/x
  3. Step 3: Cross multiply
    2,037.32x = 3,056.45 × 650.46
  4. Step 4: Simplify right side
    2,037.32x = 1,988,095.21
  5. Step 5: Solve for x
    x = 1,988,095.21/2,037.32
  6. Step 6: Final answer
    x = 975.84

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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.