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Finding the Fourth Proportional to 2,348.30, 3,521.46 and 788.06

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Solution

The fourth proportional to 2,348.30, 3,521.46 and 788.06 is: 1,181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.30 : 3,521.46 = 788.06 : x
  2. Step 2: Convert to fraction form
    2,348.30/3,521.46 = 788.06/x
  3. Step 3: Cross multiply
    2,348.30x = 3,521.46 × 788.06
  4. Step 4: Simplify right side
    2,348.30x = 2,775,121.77
  5. Step 5: Solve for x
    x = 2,775,121.77/2,348.30
  6. Step 6: Final answer
    x = 1,181.76

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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.