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Finding the Fourth Proportional to 1,650.84, 2,274.26 and 1,152.58

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Solution

The fourth proportional to 1,650.84, 2,274.26 and 1,152.58 is: 1,587.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.84 : 2,274.26 = 1,152.58 : x
  2. Step 2: Convert to fraction form
    1,650.84/2,274.26 = 1,152.58/x
  3. Step 3: Cross multiply
    1,650.84x = 2,274.26 × 1,152.58
  4. Step 4: Simplify right side
    1,650.84x = 2,621,266.59
  5. Step 5: Solve for x
    x = 2,621,266.59/1,650.84
  6. Step 6: Final answer
    x = 1,587.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.