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Finding the Fourth Proportional to 1,674.60, 2,511 and 578.64

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Solution

The fourth proportional to 1,674.60, 2,511 and 578.64 is: 867.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.60 : 2,511 = 578.64 : x
  2. Step 2: Convert to fraction form
    1,674.60/2,511 = 578.64/x
  3. Step 3: Cross multiply
    1,674.60x = 2,511 × 578.64
  4. Step 4: Simplify right side
    1,674.60x = 1,452,965.04
  5. Step 5: Solve for x
    x = 1,452,965.04/1,674.60
  6. Step 6: Final answer
    x = 867.65

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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.