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Finding the Fourth Proportional to 2,348.59, 3,521.64 and 788.02

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Solution

The fourth proportional to 2,348.59, 3,521.64 and 788.02 is: 1,181.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.59 : 3,521.64 = 788.02 : x
  2. Step 2: Convert to fraction form
    2,348.59/3,521.64 = 788.02/x
  3. Step 3: Cross multiply
    2,348.59x = 3,521.64 × 788.02
  4. Step 4: Simplify right side
    2,348.59x = 2,775,122.75
  5. Step 5: Solve for x
    x = 2,775,122.75/2,348.59
  6. Step 6: Final answer
    x = 1,181.61

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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.