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Finding the Fourth Proportional to 1,676.70, 2,502.90 and 1,567.35

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Solution

The fourth proportional to 1,676.70, 2,502.90 and 1,567.35 is: 2,339.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.70 : 2,502.90 = 1,567.35 : x
  2. Step 2: Convert to fraction form
    1,676.70/2,502.90 = 1,567.35/x
  3. Step 3: Cross multiply
    1,676.70x = 2,502.90 × 1,567.35
  4. Step 4: Simplify right side
    1,676.70x = 3,922,920.32
  5. Step 5: Solve for x
    x = 3,922,920.32/1,676.70
  6. Step 6: Final answer
    x = 2,339.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.