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Finding the Fourth Proportional to 1,774.60, 2,658.70 and 1,569.80

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Solution

The fourth proportional to 1,774.60, 2,658.70 and 1,569.80 is: 2,351.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.60 : 2,658.70 = 1,569.80 : x
  2. Step 2: Convert to fraction form
    1,774.60/2,658.70 = 1,569.80/x
  3. Step 3: Cross multiply
    1,774.60x = 2,658.70 × 1,569.80
  4. Step 4: Simplify right side
    1,774.60x = 4,173,627.26
  5. Step 5: Solve for x
    x = 4,173,627.26/1,774.60
  6. Step 6: Final answer
    x = 2,351.87

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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.