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Finding the Fourth Proportional to 1,674.40, 2,511.15 and 700.30

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Solution

The fourth proportional to 1,674.40, 2,511.15 and 700.30 is: 1,050.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.40 : 2,511.15 = 700.30 : x
  2. Step 2: Convert to fraction form
    1,674.40/2,511.15 = 700.30/x
  3. Step 3: Cross multiply
    1,674.40x = 2,511.15 × 700.30
  4. Step 4: Simplify right side
    1,674.40x = 1,758,558.35
  5. Step 5: Solve for x
    x = 1,758,558.35/1,674.40
  6. Step 6: Final answer
    x = 1,050.26

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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.