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Finding the Fourth Proportional to 2,303.67, 3,456.99 and 842.70

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Solution

The fourth proportional to 2,303.67, 3,456.99 and 842.70 is: 1,264.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.67 : 3,456.99 = 842.70 : x
  2. Step 2: Convert to fraction form
    2,303.67/3,456.99 = 842.70/x
  3. Step 3: Cross multiply
    2,303.67x = 3,456.99 × 842.70
  4. Step 4: Simplify right side
    2,303.67x = 2,913,205.47
  5. Step 5: Solve for x
    x = 2,913,205.47/2,303.67
  6. Step 6: Final answer
    x = 1,264.59

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1.5x scale

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.